Edit Profile (opens in new tab) Jaffe, Arthur Michael Co-Author Distance Author ID: jaffe.arthur-m Published as: Jaffe, Arthur; Jaffe, A.; Jaffe, A. M.; Jaffe, Arthur M. more...less External Links: MGP · Wikidata · dblp · GND · IdRef Videos: carmin.tv Documents Indexed: 128 Publications since 1962, including 4 Books and 15 Additional arXiv Preprints 11 Contributions as Editor · 5 Further Contributions Biographic References: 1 Publication Co-Authors: 91 Co-Authors with 107 Joint Publications 3,093 Co-Co-Authors all top 5 Co-Authors 33 single-authored 19 Glimm, James G. 18 Lesniewski, Andrzej 12 Bu, Kaifeng 11 Liu, Zhengwei 5 Gu, Weichen 5 Jäkel, Christian D. 5 Osterwalder, Konrad 5 Singer, Isadore Manuel 5 Wozniakowski, Alex 5 Yau, Shing-Tung 4 Bott, Raoul Harry 4 Mack, Gerhard 4 Pedrocchi, Fabio L. 4 Weitsman, Jonathan 3 Garcia, Roy J. 3 Jerison, David S. 3 Martinez, Roberto E. II 3 Quinn, Frank S. 3 Ruelle, David Pierre 3 Spencer, Thomas C. 3 Stora, Raymond 3 Wieczerkowski, Christian 3 Witten, Edward 3 Wu, Jinsong 2 Balaban, Tadeusz 2 Cannon, John Tucker 2 Connes, Alain 2 Evans, David E. 2 Ge, Liming 2 Grandjean, Olivier 2 Hepp, Klaus 2 Imbrie, John Z. 2 Janssens, Bas 2 Klimek, Slawomir 2 Koh, Dax Enshan 2 Li, Lu 2 Lieb, Elliott Hershel 2 Lusztig, George 2 Mitter, Pronob K. 2 Popa, Sorin Teodor 2 Powers, Robert T. 2 Ritter, William Gordon 2 Rørdam, Mikael 2 Simon, Barry 2 ’t Hooft, Gerard 1 Atiyah, Michael Francis 1 Barnsley, Michael Fielding 1 Baxter, Rodney J. 1 Berry, Michael 1 Birman, Joan S. 1 Bisch, Dietmar H. 1 Bombieri, Enrico 1 Brydges, David C. 1 Carlson, James A. 1 Chesi, Stefano 1 Christensen, Erik 1 Clemens, C. Herbert 1 Conder, Marston Donald Edward 1 Cook, Stephen Arthur 1 Cuntz, Joachim 1 de la Harpe, Pierre 1 Deligne, Pierre 1 DeWitt-Morette, Cécile 1 Doplicher, Sergio 1 Drury, Luke O’Connor 1 Effros, Edward George 1 Epstein, Henri 1 Ernst, Kaspar 1 Fefferman, Charles Louis 1 Feng, Ping 1 Freedman, Michael Hartley 1 Fritz, József 1 Fröhlich, Jürg Martin 1 Fröhling, Jüerg 1 Gallavotti, Giovanni M. 1 Gawędzki, Krzysztof 1 Ginibre, Jean 1 Glaser, Vladimir Jurko 1 Glashow, Sheldon Lee 1 Gleason, Andrew Mattei 1 Goldschmith, Brendan 1 Goodman, Fred J. 1 Gray, Jeremy 1 Griffiths, Robert B. 1 Guerra, Francesco 1 Guionnet, Alice 1 Gurdian, Rodolfo 1 Halmos, Paul Richard 1 Herman, Richard H. 1 Hoole, Ratnarajan 1 Hopkins, Michael Jerome 1 Huang, Linzhe 1 Izumi, Masaki 1 Jiang, Chunlan 1 Jørgensen, Palle E. T. 1 Kadison, Lars 1 Kawahigashi, Yasuyuki 1 Kirby, Robion Cromwell 1 Kishimoto, Aki 1 Kollár, János ...and 51 more Co-Authors all top 5 Serials 30 Communications in Mathematical Physics 8 Annals of Physics 7 Notices of the American Mathematical Society 6 Journal of Mathematical Physics 5 Journal of Functional Analysis 4 Proceedings of the National Academy of Sciences of the United States of America 3 Bulletin of the American Mathematical Society 2 Letters in Mathematical Physics 2 Reviews in Mathematical Physics 2 Bulletin of the American Mathematical Society. New Series 2 Expositiones Mathematicae 2 Journal of High Energy Physics 2 Physical Review, II. Series 2 Science China. Mathematics 2 Progress in Physics 1 Journal of Statistical Physics 1 Nuclear Physics. B 1 The Mathematical Intelligencer 1 Acta Mathematica 1 Advances in Mathematics 1 Commentarii Mathematici Helvetici 1 Synthese 1 \(K\)-Theory 1 Internationale Mathematische Nachrichten 1 Pokroky Matematiky, Fyziky & Astronomie 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 Irish Mathematical Society Bulletin 1 Advances in Theoretical and Mathematical Physics 1 New Journal of Physics 1 Annals of Mathematics. Second Series 1 Annales Henri Poincaré 1 Physical Review Letters 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Oberwolfach Reports 1 NATO ASI Series. Series B. Physics all top 5 Fields 72 Quantum theory (81-XX) 29 Functional analysis (46-XX) 24 History and biography (01-XX) 23 Global analysis, analysis on manifolds (58-XX) 21 General and overarching topics; collections (00-XX) 16 Operator theory (47-XX) 13 Statistical mechanics, structure of matter (82-XX) 5 Partial differential equations (35-XX) 5 Relativity and gravitational theory (83-XX) 4 Differential geometry (53-XX) 4 Information and communication theory, circuits (94-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 \(K\)-theory (19-XX) 3 Measure and integration (28-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Manifolds and cell complexes (57-XX) 3 Probability theory and stochastic processes (60-XX) 3 Computer science (68-XX) 2 Group theory and generalizations (20-XX) 2 Topological groups, Lie groups (22-XX) 2 Algebraic topology (55-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Nonassociative rings and algebras (17-XX) 1 Functions of a complex variable (30-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Fluid mechanics (76-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 87 Publications have been cited 2,088 times in 1,579 Documents Cited by ▼ Year ▼ Quantum physics. A functional integral point of view. Zbl 0461.46051 Glimm, James; Jaffe, Arthur 552 1981 Vortices and monopoles. Structure of static gauge theories. Zbl 0457.53034 Jaffe, Arthur; Taubes, Clifford 406 1980 The \(\lambda (\varphi^ 4)_ 2\) quantum field theory without cutoffs. II: The field operators and the approximate vacuum. Zbl 0191.27005 Glimm, James; Jaffe, Arthur 95 1970 Quantum K-theory. I: The Chern character. Zbl 0656.58048 Jaffe, Arthur; Lesniewski, Andrzej; Osterwalder, Konrad 72 1988 A \(\lambda\varphi^4\) quantum field theory without cutoffs. I. Zbl 0177.28203 Glimm, J.; Jaffe, A. 69 1968 Phase transitions for \(\phi_2^4\) quantum fields. Zbl 0956.82501 Glimm, James; Jaffe, Arthur; Spencer, Thomas 52 1975 Rigorous quantum field theory models. Zbl 0191.27101 Glimm, J.; Jaffe, A. 46 1970 “Theoretical mathematics”: Toward a cultural synthesis of mathematics and theoretical physics. Zbl 0780.00001 Jaffe, Arthur; Quinn, Frank 42 1993 Quantum Yang-Mills theory. Zbl 1194.81002 Jaffe, Arthur; Witten, Edward 38 2006 Collected papers. Vol. 1: Quantum field theory and statistical mechanics. Expositions. Vol. 2: Constructive quantum field theory. Selected papers. Zbl 0574.01019 Glimm, James; Jaffe, Arthur 37 1985 Index of a family of Dirac operators on loop space. Zbl 0629.58040 Jaffe, Arthur; Lesniewski, Andrzej; Weitsman, Jonathan 37 1987 The Millennium Prize problems. Zbl 1155.00001 32 2006 Divergence of perturbation theory for bosons. Zbl 0127.19706 Jaffe, A. 31 1965 Ground state structure in supersymmetric quantum mechanics. Zbl 0625.58042 Jaffe, Arthur; Lesniewski, Andrzej; Lewenstein, Maciej 31 1987 The \(\lambda\varphi^4_2\) quantum field theory without cutoffs. IV: Perturbations of the Hamiltonian. Zbl 1503.81053 Glimm, James; Jaffe, Arthur 25 1972 Planar para algebras, reflection positivity. Zbl 1373.46058 Jaffe, Arthur; Liu, Zhengwei 20 2017 Positivity and self adjointness of the \(P(\phi)_ 2\) Hamiltonian. Zbl 0221.47022 Glimm, James; Jaffe, Arthur 19 1971 The two-dimensional, \(N=2\) Wess-Zumino model on a cylinder. Zbl 0662.35094 Jaffe, Arthur; Lesniewski, Andrezej; Weitsman, Jonathan 19 1988 Quantum field theory on curved backgrounds. I: The Euclidean functional integral. Zbl 1120.81065 Jaffe, Arthur; Ritter, Gordon 19 2007 Renormalization of the Higgs model: Minimizers, propagators and the stability of mean field theory. Zbl 1223.81136 Bałaban, Tadeusz; Imbrie, John; Jaffe, Arthur 18 1985 Entire functions of the free field. Zbl 0127.44102 Jaffe, A. 18 1965 A priori estimates for \(N=2\) Wess-Zumino models on a cylinder. Zbl 0662.35095 Jaffe, Arthur; Lesniewski, Andrzej 18 1988 Reflection positivity for parafermions. Zbl 1318.82011 Jaffe, Arthur; Pedrocchi, Fabio L. 17 2015 The loop space \(S^ 1\to {\mathbb{R}}\) and supersymmetric quantum fields. Zbl 0633.58007 Jaffe, Arthur; Lesniewski, Andrzej; Weitsman, Jonathan 15 1988 Holographic software for quantum networks. Zbl 1390.81100 Jaffe, Arthur; Liu, Zhengwei; Wozniakowski, Alex 15 2018 On super-KMS functionals and entire cyclic cohomology. Zbl 0692.46055 Jaffe, Arthur; Lesniewski, Andrzej; Osterwalder, Konrad 15 1989 Representations of the Heisenberg algebra on a Riemann surface. Zbl 0686.30035 Jaffe, Arthur; Klimek, Slawomir; Lesniewski, Andrzej 15 1989 Reflection positivity and monotonicity. Zbl 1152.81489 Jaffe, Arthur; Ritter, Gordon 14 2008 A note on reflection positivity. Zbl 0418.47020 Glimm, James; Jaffe, Arthur 14 1979 Constructive quantum field theory. Zbl 1074.81543 Jaffe, Arthur 14 2000 The mass gap for Higgs models on a unit lattice. Zbl 0583.46060 Balaban, Tadeusz; Imbrie, John; Jaffe, Arthur; Brydges, David 14 1984 Deformations of super-KMS functionals. Zbl 0701.58007 Jaffe, Arthur; Lesniewski, Andrzej; Wisniowski, Marek 14 1989 The \(\lambda(\varphi^4)_2\) quantum field theory without cutoffs. III: The physical vacuum. Zbl 1503.81052 Glimm, James; Jaffe, Arthur 14 1970 Pfaffians on Hilbert space. Zbl 0717.47006 Jaffe, Arthur; Lesniewski, Andrzej; Weitsman, Jonathan 12 1989 Reflection positivity for majoranas. Zbl 1308.82009 Jaffe, Arthur; Pedrocchi, Fabio L. 11 2015 Reflection positive doubles. Zbl 1545.47131 Jaffe, Arthur; Janssens, Bas 11 2017 Remark on the existence of \(\varphi^{4}_{4}\). Zbl 1329.81210 Glimm, James; Jaffe, Arthur 11 1974 Quantum K-theory. II: Homotopy invariance of the Chern character. Zbl 0708.58033 Ernst, Kaspar; Feng, Ping; Jaffe, Arthur; Lesniewski, Andrzej 11 1990 Lorentz covariance of the \(\lambda (\varphi^ 4)_ 2\) quantum field theory. Zbl 0194.29003 Cannon, J. T.; Jaffe, A. M. 10 1970 Infinite renormalization of the Hamiltonian is necessary. Zbl 0184.54203 Glimm, J.; Jaffe, A. 10 1969 Self-adjointness of the Yukawa\(_{2}\) Hamiltonian. Zbl 1229.81087 Glimm, James; Jaffe, Arthur 9 1970 Quon 3D language for quantum information. Zbl 1404.81063 Liu, Zhengwei; Wozniakowski, Alex; Jaffe, Arthur M. 9 2017 Quantum theory and relativity. Zbl 1154.81300 Jaffe, Arthur 8 2008 Stochastic quantization, reflection positivity, and quantum fields. Zbl 1327.81260 Jaffe, Arthur 8 2015 Complex classical fields: a framework for reflection positivity. Zbl 1295.81104 Jaffe, Arthur; Jäkel, Christian D.; Martinez, Roberto E. II 8 2014 Characterization of reflection positivity: Majoranas and spins. Zbl 1348.81268 Jaffe, Arthur; Janssens, Bas 7 2016 Quantum harmonic analysis and geometric invariants. Zbl 1049.58025 Jaffe, Arthur 7 1999 Constructive simulation and topological design of protocols. Zbl 1516.81039 Jaffe, Arthur; Liu, Zhengwei; Wozniakowski, Alex 7 2017 On the approximation of quantum field theories. Zbl 0137.45604 Jaffe, A. 6 1965 Quantum physics. A functional integral point of view. (Matematicheskie metody kvantovoj fiziki. Podkhod s ispol’zovaniem funktional’nykh integralov). Zbl 0589.46061 Glimm, James; Jaffe, Arthur 6 1984 Statistical mechanics and quantum field theory. Mécanique statistique et théorie quantique des champs. Université de Grenoble-Summer School of Theoretical Physics Les Houches 1970. Zbl 0242.46002 5 1971 Mathematical picture language program. Zbl 1416.00023 Jaffe, Arthur M.; Liu, Zhengwei 5 2018 Heat kernel regularization and infinite dimensional analysis. Zbl 0647.58001 Jaffe, Arthur 5 1988 Quantum Fourier analysis. Zbl 1485.42013 Jaffe, Arthur; Jiang, Chunlan; Wu, Jinsong 5 2020 Phase transitions in \(P(\varphi)_2\) quantum fields. Zbl 0367.60113 Glimm, J.; Jaffe, A.; Spencer, T. 4 1976 Complex classical fields: an example. Zbl 1292.81094 Jaffe, Arthur; Jäkel, Christian D.; Martinez, Roberto E. 4 2014 Existence theorems for a cut-off \(\lambda\varphi^ 4\) field theory. Zbl 0159.60201 Jaffe, A. 4 1966 Response to comments on “theoretical mathematics”. Zbl 0803.01015 Jaffe, Arthur; Quinn, Frank 4 1994 Infinite volume limit of a \(\lambda\varphi^ 4\) field theory. Zbl 0159.60202 Jaffe, A. M.; Powers, R. T. 3 1968 The millennium grand challenge in mathematics. Zbl 1130.01012 Jaffe, Arthur M. 3 2006 Vortex loops and Majoranas. Zbl 1288.81069 Chesi, Stefano; Jaffe, Arthur; Loss, Daniel; Pedrocchi, Fabio L. 3 2013 The holonomy expansion: invariants and approximate supersymmetry. Zbl 1161.58314 Jaffe, Arthur 3 2000 Complex angular momentum in two-channel problems. Zbl 0132.43606 Jaffe, A. M.; Kim, Y. S. 3 1962 Supersymmetry and the spectral condition on a cylinder. Zbl 0696.58051 Jaffe, Arthur; Lesniewski, Andrzej; Wieczerkowski, Christian 3 1988 Ordering the universe: The role of mathematics. Zbl 0558.01023 Jaffe, Arthur 3 1984 Memories of Vaughan Jones. Zbl 1480.01028 Bisch, Dietmar; Evans, David E.; Kirby, Robion; Popa, Sorin 3 2021 Twist fields, the elliptic genus, and hidden symmetry. Zbl 0980.58004 Jaffe, Arthur 2 2000 Twist positivity. Zbl 1049.81047 Jaffe, Arthur 2 1999 Current developments in mathematics, 1995. Lectures of a seminar, held in Boston, MA, USA, May 7-8, 1995. Zbl 0833.00016 Bott, Raoul 2 1995 A priori quantum field equations. Zbl 0676.35078 Jaffe, Arthur; Lesniewski, Andrzej; Wieczerkowski, Christian 2 1989 Heat kernel regularization of quantum fields. Zbl 0682.46050 Jaffe, Arthur; Lesniewski, Andrzej; Wieczerkowski, Christian 2 1989 Ward identities for non-commutative geometry. Zbl 0707.58050 Jaffe, Arthur; Osterwalder, Konrad 2 1990 Quantifying scrambling in quantum neural networks. Zbl 1522.81041 Garcia, Roy J.; Bu, Kaifeng; Jaffe, Arthur 2 2022 New symmetry principles in quantum field theory. Proceedings of the NATO Advanced Study Institute held in Cargèse, July 16–27, 1991. Zbl 1222.81031 1 1992 A generalization of the Paley-Wiener-Schwartz theorem. Zbl 0153.16503 Jaffe, A. M. 1 1967 What is renormalization? Zbl 0286.35061 Glimm, James; Jaffe, Arthur 1 1973 The resummation of one particle lines. Zbl 0422.46058 Glimm, James; Jaffe, Arthur 1 1979 Quantum physics as non-commutative geometry. Zbl 0947.46504 Jaffe, Arthur 1 1992 The elliptic genus and hidden symmetry. Zbl 0979.58010 Jaffe, Arthur 1 2001 Where does quantum field theory fit into the big picture? Zbl 1049.81046 Jaffe, Arthur 1 1999 Reflection positivity. Abstracts from the workshop held November 26 – December 2, 2017. Zbl 1409.00095 1 2017 Stability for a class of bilocal Hamiltonians. Zbl 0799.58073 Jaffe, Arthur; Lesniewski, Andrzej; Osterwalder, Konrad 1 1993 “Theoretical Mathematics”: Toward a cultural synthesis of mathematics and theoretical physics. Zbl 0875.00036 Jaffe, Arthur; Quinn, Frank 1 1996 The interface between mathematics and physics: a panel discussion sponsored by the DIT & the RIA. Academy House, 6th September 2005. Panellist: Prof. Sir Michael Atiyah; Prof Sir Michael Berry; Prof Luke Drury; Prof Arthur Jaffe; Prof Brendan Goldsmith (Chair). Zbl 1186.00036 Atiyah, Michael; Berry, Michael; Drury, Luke; Jaffe, Arthur; Goldschmith, Brendan 1 2006 De Finetti theorems for braided parafermions. Zbl 1476.81009 Bu, Kaifeng; Jaffe, Arthur; Liu, Zhengwei; Wu, Jinsong 1 2020 Reflection positivity and Levin-Wen models. Zbl 1509.46044 Jaffe, Arthur; Liu, Zhengwei 1 2020 Complexity of quantum circuits via sensitivity, magic, and coherence. Zbl 07873295 Bu, Kaifeng; Garcia, Roy J.; Jaffe, Arthur; Koh, Dax Enshan; Li, Lu 1 2024 Complexity of quantum circuits via sensitivity, magic, and coherence. Zbl 07873295 Bu, Kaifeng; Garcia, Roy J.; Jaffe, Arthur; Koh, Dax Enshan; Li, Lu 1 2024 Quantifying scrambling in quantum neural networks. Zbl 1522.81041 Garcia, Roy J.; Bu, Kaifeng; Jaffe, Arthur 2 2022 Memories of Vaughan Jones. Zbl 1480.01028 Bisch, Dietmar; Evans, David E.; Kirby, Robion; Popa, Sorin 3 2021 Quantum Fourier analysis. Zbl 1485.42013 Jaffe, Arthur; Jiang, Chunlan; Wu, Jinsong 5 2020 De Finetti theorems for braided parafermions. Zbl 1476.81009 Bu, Kaifeng; Jaffe, Arthur; Liu, Zhengwei; Wu, Jinsong 1 2020 Reflection positivity and Levin-Wen models. Zbl 1509.46044 Jaffe, Arthur; Liu, Zhengwei 1 2020 Holographic software for quantum networks. Zbl 1390.81100 Jaffe, Arthur; Liu, Zhengwei; Wozniakowski, Alex 15 2018 Mathematical picture language program. Zbl 1416.00023 Jaffe, Arthur M.; Liu, Zhengwei 5 2018 Planar para algebras, reflection positivity. Zbl 1373.46058 Jaffe, Arthur; Liu, Zhengwei 20 2017 Reflection positive doubles. Zbl 1545.47131 Jaffe, Arthur; Janssens, Bas 11 2017 Quon 3D language for quantum information. Zbl 1404.81063 Liu, Zhengwei; Wozniakowski, Alex; Jaffe, Arthur M. 9 2017 Constructive simulation and topological design of protocols. Zbl 1516.81039 Jaffe, Arthur; Liu, Zhengwei; Wozniakowski, Alex 7 2017 Reflection positivity. Abstracts from the workshop held November 26 – December 2, 2017. Zbl 1409.00095 1 2017 Characterization of reflection positivity: Majoranas and spins. Zbl 1348.81268 Jaffe, Arthur; Janssens, Bas 7 2016 Reflection positivity for parafermions. Zbl 1318.82011 Jaffe, Arthur; Pedrocchi, Fabio L. 17 2015 Reflection positivity for majoranas. Zbl 1308.82009 Jaffe, Arthur; Pedrocchi, Fabio L. 11 2015 Stochastic quantization, reflection positivity, and quantum fields. Zbl 1327.81260 Jaffe, Arthur 8 2015 Complex classical fields: a framework for reflection positivity. Zbl 1295.81104 Jaffe, Arthur; Jäkel, Christian D.; Martinez, Roberto E. II 8 2014 Complex classical fields: an example. Zbl 1292.81094 Jaffe, Arthur; Jäkel, Christian D.; Martinez, Roberto E. 4 2014 Vortex loops and Majoranas. Zbl 1288.81069 Chesi, Stefano; Jaffe, Arthur; Loss, Daniel; Pedrocchi, Fabio L. 3 2013 Reflection positivity and monotonicity. Zbl 1152.81489 Jaffe, Arthur; Ritter, Gordon 14 2008 Quantum theory and relativity. Zbl 1154.81300 Jaffe, Arthur 8 2008 Quantum field theory on curved backgrounds. I: The Euclidean functional integral. Zbl 1120.81065 Jaffe, Arthur; Ritter, Gordon 19 2007 Quantum Yang-Mills theory. Zbl 1194.81002 Jaffe, Arthur; Witten, Edward 38 2006 The Millennium Prize problems. Zbl 1155.00001 32 2006 The millennium grand challenge in mathematics. Zbl 1130.01012 Jaffe, Arthur M. 3 2006 The interface between mathematics and physics: a panel discussion sponsored by the DIT & the RIA. Academy House, 6th September 2005. Panellist: Prof. Sir Michael Atiyah; Prof Sir Michael Berry; Prof Luke Drury; Prof Arthur Jaffe; Prof Brendan Goldsmith (Chair). Zbl 1186.00036 Atiyah, Michael; Berry, Michael; Drury, Luke; Jaffe, Arthur; Goldschmith, Brendan 1 2006 The elliptic genus and hidden symmetry. Zbl 0979.58010 Jaffe, Arthur 1 2001 Constructive quantum field theory. Zbl 1074.81543 Jaffe, Arthur 14 2000 The holonomy expansion: invariants and approximate supersymmetry. Zbl 1161.58314 Jaffe, Arthur 3 2000 Twist fields, the elliptic genus, and hidden symmetry. Zbl 0980.58004 Jaffe, Arthur 2 2000 Quantum harmonic analysis and geometric invariants. Zbl 1049.58025 Jaffe, Arthur 7 1999 Twist positivity. Zbl 1049.81047 Jaffe, Arthur 2 1999 Where does quantum field theory fit into the big picture? Zbl 1049.81046 Jaffe, Arthur 1 1999 “Theoretical Mathematics”: Toward a cultural synthesis of mathematics and theoretical physics. Zbl 0875.00036 Jaffe, Arthur; Quinn, Frank 1 1996 Current developments in mathematics, 1995. Lectures of a seminar, held in Boston, MA, USA, May 7-8, 1995. Zbl 0833.00016 Bott, Raoul 2 1995 Response to comments on “theoretical mathematics”. Zbl 0803.01015 Jaffe, Arthur; Quinn, Frank 4 1994 “Theoretical mathematics”: Toward a cultural synthesis of mathematics and theoretical physics. Zbl 0780.00001 Jaffe, Arthur; Quinn, Frank 42 1993 Stability for a class of bilocal Hamiltonians. Zbl 0799.58073 Jaffe, Arthur; Lesniewski, Andrzej; Osterwalder, Konrad 1 1993 New symmetry principles in quantum field theory. Proceedings of the NATO Advanced Study Institute held in Cargèse, July 16–27, 1991. Zbl 1222.81031 1 1992 Quantum physics as non-commutative geometry. Zbl 0947.46504 Jaffe, Arthur 1 1992 Quantum K-theory. II: Homotopy invariance of the Chern character. Zbl 0708.58033 Ernst, Kaspar; Feng, Ping; Jaffe, Arthur; Lesniewski, Andrzej 11 1990 Ward identities for non-commutative geometry. Zbl 0707.58050 Jaffe, Arthur; Osterwalder, Konrad 2 1990 On super-KMS functionals and entire cyclic cohomology. Zbl 0692.46055 Jaffe, Arthur; Lesniewski, Andrzej; Osterwalder, Konrad 15 1989 Representations of the Heisenberg algebra on a Riemann surface. Zbl 0686.30035 Jaffe, Arthur; Klimek, Slawomir; Lesniewski, Andrzej 15 1989 Deformations of super-KMS functionals. Zbl 0701.58007 Jaffe, Arthur; Lesniewski, Andrzej; Wisniowski, Marek 14 1989 Pfaffians on Hilbert space. Zbl 0717.47006 Jaffe, Arthur; Lesniewski, Andrzej; Weitsman, Jonathan 12 1989 A priori quantum field equations. Zbl 0676.35078 Jaffe, Arthur; Lesniewski, Andrzej; Wieczerkowski, Christian 2 1989 Heat kernel regularization of quantum fields. Zbl 0682.46050 Jaffe, Arthur; Lesniewski, Andrzej; Wieczerkowski, Christian 2 1989 Quantum K-theory. I: The Chern character. Zbl 0656.58048 Jaffe, Arthur; Lesniewski, Andrzej; Osterwalder, Konrad 72 1988 The two-dimensional, \(N=2\) Wess-Zumino model on a cylinder. Zbl 0662.35094 Jaffe, Arthur; Lesniewski, Andrezej; Weitsman, Jonathan 19 1988 A priori estimates for \(N=2\) Wess-Zumino models on a cylinder. Zbl 0662.35095 Jaffe, Arthur; Lesniewski, Andrzej 18 1988 The loop space \(S^ 1\to {\mathbb{R}}\) and supersymmetric quantum fields. Zbl 0633.58007 Jaffe, Arthur; Lesniewski, Andrzej; Weitsman, Jonathan 15 1988 Heat kernel regularization and infinite dimensional analysis. Zbl 0647.58001 Jaffe, Arthur 5 1988 Supersymmetry and the spectral condition on a cylinder. Zbl 0696.58051 Jaffe, Arthur; Lesniewski, Andrzej; Wieczerkowski, Christian 3 1988 Index of a family of Dirac operators on loop space. Zbl 0629.58040 Jaffe, Arthur; Lesniewski, Andrzej; Weitsman, Jonathan 37 1987 Ground state structure in supersymmetric quantum mechanics. Zbl 0625.58042 Jaffe, Arthur; Lesniewski, Andrzej; Lewenstein, Maciej 31 1987 Collected papers. Vol. 1: Quantum field theory and statistical mechanics. Expositions. Vol. 2: Constructive quantum field theory. Selected papers. Zbl 0574.01019 Glimm, James; Jaffe, Arthur 37 1985 Renormalization of the Higgs model: Minimizers, propagators and the stability of mean field theory. Zbl 1223.81136 Bałaban, Tadeusz; Imbrie, John; Jaffe, Arthur 18 1985 The mass gap for Higgs models on a unit lattice. Zbl 0583.46060 Balaban, Tadeusz; Imbrie, John; Jaffe, Arthur; Brydges, David 14 1984 Quantum physics. A functional integral point of view. (Matematicheskie metody kvantovoj fiziki. Podkhod s ispol’zovaniem funktional’nykh integralov). Zbl 0589.46061 Glimm, James; Jaffe, Arthur 6 1984 Ordering the universe: The role of mathematics. Zbl 0558.01023 Jaffe, Arthur 3 1984 Quantum physics. A functional integral point of view. Zbl 0461.46051 Glimm, James; Jaffe, Arthur 552 1981 Vortices and monopoles. Structure of static gauge theories. Zbl 0457.53034 Jaffe, Arthur; Taubes, Clifford 406 1980 A note on reflection positivity. Zbl 0418.47020 Glimm, James; Jaffe, Arthur 14 1979 The resummation of one particle lines. Zbl 0422.46058 Glimm, James; Jaffe, Arthur 1 1979 Phase transitions in \(P(\varphi)_2\) quantum fields. Zbl 0367.60113 Glimm, J.; Jaffe, A.; Spencer, T. 4 1976 Phase transitions for \(\phi_2^4\) quantum fields. Zbl 0956.82501 Glimm, James; Jaffe, Arthur; Spencer, Thomas 52 1975 Remark on the existence of \(\varphi^{4}_{4}\). Zbl 1329.81210 Glimm, James; Jaffe, Arthur 11 1974 What is renormalization? Zbl 0286.35061 Glimm, James; Jaffe, Arthur 1 1973 The \(\lambda\varphi^4_2\) quantum field theory without cutoffs. IV: Perturbations of the Hamiltonian. Zbl 1503.81053 Glimm, James; Jaffe, Arthur 25 1972 Positivity and self adjointness of the \(P(\phi)_ 2\) Hamiltonian. Zbl 0221.47022 Glimm, James; Jaffe, Arthur 19 1971 Statistical mechanics and quantum field theory. Mécanique statistique et théorie quantique des champs. Université de Grenoble-Summer School of Theoretical Physics Les Houches 1970. Zbl 0242.46002 5 1971 The \(\lambda (\varphi^ 4)_ 2\) quantum field theory without cutoffs. II: The field operators and the approximate vacuum. Zbl 0191.27005 Glimm, James; Jaffe, Arthur 95 1970 Rigorous quantum field theory models. Zbl 0191.27101 Glimm, J.; Jaffe, A. 46 1970 The \(\lambda(\varphi^4)_2\) quantum field theory without cutoffs. III: The physical vacuum. Zbl 1503.81052 Glimm, James; Jaffe, Arthur 14 1970 Lorentz covariance of the \(\lambda (\varphi^ 4)_ 2\) quantum field theory. Zbl 0194.29003 Cannon, J. T.; Jaffe, A. M. 10 1970 Self-adjointness of the Yukawa\(_{2}\) Hamiltonian. Zbl 1229.81087 Glimm, James; Jaffe, Arthur 9 1970 Infinite renormalization of the Hamiltonian is necessary. Zbl 0184.54203 Glimm, J.; Jaffe, A. 10 1969 A \(\lambda\varphi^4\) quantum field theory without cutoffs. I. Zbl 0177.28203 Glimm, J.; Jaffe, A. 69 1968 Infinite volume limit of a \(\lambda\varphi^ 4\) field theory. Zbl 0159.60202 Jaffe, A. M.; Powers, R. T. 3 1968 A generalization of the Paley-Wiener-Schwartz theorem. Zbl 0153.16503 Jaffe, A. M. 1 1967 Existence theorems for a cut-off \(\lambda\varphi^ 4\) field theory. Zbl 0159.60201 Jaffe, A. 4 1966 Divergence of perturbation theory for bosons. Zbl 0127.19706 Jaffe, A. 31 1965 Entire functions of the free field. Zbl 0127.44102 Jaffe, A. 18 1965 On the approximation of quantum field theories. Zbl 0137.45604 Jaffe, A. 6 1965 Complex angular momentum in two-channel problems. Zbl 0132.43606 Jaffe, A. M.; Kim, Y. S. 3 1962 all cited Publications top 5 cited Publications all top 5 Cited by 1,631 Authors 55 Jaffe, Arthur Michael 38 Yang, Yisong 29 Albeverio, Sergio A. 23 Lesniewski, Andrzej 16 Arai, Asao 16 Fröhlich, Jürg Martin 16 Simon, Barry 15 Lin, Chang-Shou 15 Taubes, Clifford Henry 14 Dimock, Jonathan 14 Han, Jongmin 14 Jørgensen, Palle E. T. 14 Sergeev, Armen Glebovich 13 Han, Xiaosen 13 Rivasseau, Vincent 12 Léandre, Rémi 11 Glimm, James G. 11 Jäkel, Christian D. 11 Liu, Zhengwei 11 Neeb, Karl-Hermann 11 Tarantello, Gabriella 10 O’Carroll, Michael L. 10 Ólafsson, Gestur 9 Balaban, Tadeusz 9 Chen, Shouxin 9 Høegh-Krohn, Raphael J. 9 Röckner, Michael 9 Weitsman, Jonathan 8 Choe, Kwangseok 8 Hiroshima, Fumio 8 Osterwalder, Konrad 8 Shen, Hao 8 Sibner, Lesley M. 8 Sigal, Israel Michael 7 Buchholz, Detlev 7 Fredenhagen, Klaus 7 Gielerak, Roman 7 Hairer, Martin 7 Hillier, Robin 7 Klimek, Slawomir 7 Manton, Nicholas S. 7 Marchetti, Pieralberto A. 7 Miyao, Tadahiro 7 Slade, Gordon 7 Wieczerkowski, Christian 6 Borgs, Christian 6 Carpi, Sebastiano 6 Gross, Leonard 6 Imbrie, John Z. 6 Lee, Youngae 6 Nagy, Ákos 6 Oliveira, Goncalo 6 Rhodes, Rémi 6 Summers, Stephen Jeffrey 6 Vargas, Vincent 6 Zhu, RongChan 5 Bricmont, Jean 5 Chandra, Ajay 5 Connes, Alain 5 Faria da Veiga, Paulo A. 5 Fraser, Doreen 5 García Fuertes, Wilfredo 5 Gudnason, Sven Bjarke 5 Gurau, Razvan Gheorghe 5 Hirokawa, Masao 5 Kiessling, Michael Karl-Heinz 5 Klein, Abel 5 Kondrat’yev, Yuriĭ Grygorovych 5 Lechner, Gandalf 5 Romão, Nuno M. 5 Schrader, Robert 5 Song, Kyungwoo 5 Spruck, Joel 5 Weber, Hendrik 5 Wreszinski, Walter F. 5 Wu, Jinsong 5 Zegarlinski, Boguslaw 5 Zhu, Xiang-Chan 4 Alonso Izquierdo, A. Alonso 4 Bauerschmidt, Roland 4 Bismut, Jean-Michel 4 Brydges, David C. 4 Burzlaff, Jürgen 4 Cannon, John Tucker 4 Chen, Zhiyou 4 Chern, Jann-Long 4 Constantinescu, Florin 4 De Vecchi, Francesco Carlo 4 Duan, Yishi 4 Faddeev, Mikhail Mikhaĭlovich 4 Finster, Felix 4 Gao, Zhifeng 4 García-Prada, Oscar 4 Gawędzki, Krzysztof 4 Gérard, Christian 4 Gesztesy, Fritz 4 Gubinelli, Massimiliano 4 Guillot, Jean-Claude 4 Ibragimov, Il’dar Abdullovich 4 Ilinski, Kirill N. ...and 1,531 more Authors all top 5 Cited in 262 Serials 316 Communications in Mathematical Physics 106 Journal of Mathematical Physics 77 Journal of Functional Analysis 59 Journal of Statistical Physics 41 Letters in Mathematical Physics 33 Nuclear Physics. B 33 Annals of Physics 31 Journal of High Energy Physics 31 Annales Henri Poincaré 30 Reports on Mathematical Physics 30 Journal of Geometry and Physics 27 Reviews in Mathematical Physics 22 Theoretical and Mathematical Physics 18 Advances in Mathematics 18 Bulletin of the American Mathematical Society. New Series 17 International Journal of Theoretical Physics 16 Physics Letters. B 14 Journal of Mathematical Analysis and Applications 13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 12 Journal of Mathematical Sciences (New York) 11 Annales de l’Institut Henri Poincaré. Physique Théorique 11 Calculus of Variations and Partial Differential Equations 10 The Mathematical Intelligencer 10 Journal of Physics A: Mathematical and Theoretical 9 International Journal of Modern Physics A 9 The Annals of Probability 9 Inventiones Mathematicae 9 Mathematische Annalen 9 Transactions of the American Mathematical Society 9 Physica D 9 International Journal of Geometric Methods in Modern Physics 9 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics 8 Journal of Differential Equations 7 Communications in Partial Differential Equations 7 Mathematical Physics, Analysis and Geometry 7 Infinite Dimensional Analysis, Quantum Probability and Related Topics 7 Bulletin of the American Mathematical Society 7 Journal of Noncommutative Geometry 7 Science China. Mathematics 6 Communications on Pure and Applied Mathematics 6 Physics Letters. A 6 Memoirs of the American Mathematical Society 6 Acta Applicandae Mathematicae 6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 6 Geometry & Topology 5 Archive for Rational Mechanics and Analysis 5 Journal of Computational and Applied Mathematics 5 Journal of Soviet Mathematics 5 Mathematische Zeitschrift 5 \(K\)-Theory 5 Stochastic and Partial Differential Equations. Analysis and Computations 4 Ukrainian Mathematical Journal 4 Duke Mathematical Journal 4 Publications of the Research Institute for Mathematical Sciences, Kyoto University 4 Advances in Applied Mathematics 4 Probability Theory and Related Fields 4 Journal of the American Mathematical Society 4 International Journal of Mathematics 4 The Journal of Geometric Analysis 4 Geometric and Functional Analysis. GAFA 4 SIAM Journal on Mathematical Analysis 4 Nuclear Physics. B. Proceedings Supplements 4 Erkenntnis 4 Communications in Contemporary Mathematics 4 Oberwolfach Reports 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 4 Proceedings of the Steklov Institute of Mathematics 4 Advances in Mathematical Physics 3 Modern Physics Letters A 3 Classical and Quantum Gravity 3 Mathematical Notes 3 Physica A 3 Physics Reports 3 Rocky Mountain Journal of Mathematics 3 Wave Motion 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 3 Functional Analysis and its Applications 3 Publications Mathématiques 3 Journal of the London Mathematical Society. Second Series 3 Proceedings of the American Mathematical Society 3 Proceedings of the Japan Academy. Series A 3 Synthese 3 Transactions of the Moscow Mathematical Society 3 Journal of Theoretical Probability 3 The Annals of Applied Probability 3 Expositiones Mathematicae 3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 3 Journal of Nonlinear Science 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Potential Analysis 3 Russian Journal of Mathematical Physics 3 Discrete and Continuous Dynamical Systems 3 The Journal of Fourier Analysis and Applications 3 Transformation Groups 3 Doklady Mathematics 3 Milan Journal of Mathematics 3 Complex Analysis and Operator Theory 3 Journal of \(K\)-Theory 3 Analysis and Mathematical Physics ...and 162 more Serials all top 5 Cited in 60 Fields 889 Quantum theory (81-XX) 318 Partial differential equations (35-XX) 267 Statistical mechanics, structure of matter (82-XX) 266 Functional analysis (46-XX) 263 Global analysis, analysis on manifolds (58-XX) 227 Probability theory and stochastic processes (60-XX) 166 Operator theory (47-XX) 166 Differential geometry (53-XX) 71 Relativity and gravitational theory (83-XX) 55 Dynamical systems and ergodic theory (37-XX) 47 Manifolds and cell complexes (57-XX) 47 Mechanics of particles and systems (70-XX) 42 Topological groups, Lie groups (22-XX) 39 General and overarching topics; collections (00-XX) 35 Algebraic geometry (14-XX) 34 Measure and integration (28-XX) 32 Several complex variables and analytic spaces (32-XX) 30 Fluid mechanics (76-XX) 27 History and biography (01-XX) 26 Nonassociative rings and algebras (17-XX) 24 Functions of a complex variable (30-XX) 23 \(K\)-theory (19-XX) 23 Calculus of variations and optimal control; optimization (49-XX) 20 Algebraic topology (55-XX) 19 Computer science (68-XX) 18 Numerical analysis (65-XX) 17 Abstract harmonic analysis (43-XX) 16 Category theory; homological algebra (18-XX) 15 Combinatorics (05-XX) 15 Number theory (11-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 15 Real functions (26-XX) 14 Geometry (51-XX) 14 Optics, electromagnetic theory (78-XX) 13 Mathematical logic and foundations (03-XX) 13 Associative rings and algebras (16-XX) 13 Ordinary differential equations (34-XX) 13 Statistics (62-XX) 12 Group theory and generalizations (20-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 7 Special functions (33-XX) 6 Potential theory (31-XX) 6 Approximations and expansions (41-XX) 5 Difference and functional equations (39-XX) 5 Biology and other natural sciences (92-XX) 5 Information and communication theory, circuits (94-XX) 4 Integral equations (45-XX) 4 Operations research, mathematical programming (90-XX) 4 Mathematics education (97-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Sequences, series, summability (40-XX) 3 Integral transforms, operational calculus (44-XX) 3 Mechanics of deformable solids (74-XX) 2 Convex and discrete geometry (52-XX) 2 General topology (54-XX) 2 Systems theory; control (93-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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