# zbMATH — the first resource for mathematics

Compute Distance To:
 Documents Indexed: 45 Publications since 1967, including 2 Books
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#### Co-Authors

 17 single-authored 11 Feldman, Joel S. 11 Knörrer, Horst 11 Trubowitz, Eugene 4 O’Carroll, Michael L. 2 Imbrie, John Z. 2 Jaffe, Arthur Michael 2 Schor, Ricardo S. 1 Brydges, David C. 1 Gawȩdzki, Krzysztof
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#### Serials

 17 Communications in Mathematical Physics 6 Annales Henri Poincaré 2 Journal of Mathematical Physics 2 Annals of Physics 1 Journal of Statistical Physics 1 Letters in Mathematical Physics 1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 1 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD)
all top 5

#### Fields

 25 Quantum theory (81-XX) 18 Statistical mechanics, structure of matter (82-XX) 6 Probability theory and stochastic processes (60-XX) 5 Functional analysis (46-XX) 5 Global analysis, analysis on manifolds (58-XX) 3 Functions of a complex variable (30-XX) 3 Partial differential equations (35-XX) 2 Differential geometry (53-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Difference and functional equations (39-XX) 1 Operator theory (47-XX)

#### Citations contained in zbMATH Open

37 Publications have been cited 361 times in 120 Documents Cited by Year
Regularity and decay of lattice Green’s functions. Zbl 0555.35113
1983
Renormalization group approach to lattice gauge field theories. I: Generation of effective actions in a small field approximation and a coupling constant renormalization in four dimensions. Zbl 0611.53080
1987
Propagators and renormalization transformations for lattice gauge theories. I. Zbl 0579.35070
Bałaban, T.
1984
Renormalization of the Higgs model: Minimizers, propagators and the stability of mean field theory. Zbl 1223.81136
Bałaban, Tadeusz; Imbrie, John; Jaffe, Arthur
1985
A low temperature expansion for classical $$N$$-vector models. I: A renormalization group flow. Zbl 0811.60100
1995
Propagators for lattice gauge theories in a background field. Zbl 0579.35075
Bałaban, T.
1985
Propagators and renormalization transformations for lattice gauge theories. II. Zbl 0579.35071
Bałaban, T.
1984
Large field renormalization. II: Localization, exponentiation, and bounds for the $${\mathbb{R}}$$ operation. Zbl 0704.58060
1989
The variational problem and background fields in renormalization group method for lattice gauge theories. Zbl 0594.58026
Balaban, T.
1985
The mass gap for Higgs models on a unit lattice. Zbl 0583.46060
Balaban, Tadeusz; Imbrie, John; Jaffe, Arthur; Brydges, David
1984
Ultraviolet stability of three-dimensional lattice pure gauge field theories. Zbl 0595.58047
Balaban, T.
1985
Averaging operations for lattice gauge theories. Zbl 0579.35072
Bałaban, T.
1985
A low temperature expansion for the pseudoscalar Yukawa model of quantum fields in two space-time dimensions. Zbl 0509.46059
Balaban, T.; Gawedzki, K.
1982
Renormalization group approach to lattice gauge field theories. II: Cluster expansions. Zbl 0688.53045
1988
Spaces of regular gauge field configurations on a lattice and gauge fixing conditions. Zbl 0579.35074
Bałaban, T.
1985
Complex bosonic many-body models: overview of the small field parabolic flow. Zbl 1387.82029
Balaban, Tadeusz; Feldman, Joel; Knörrer, Horst; Trubowitz, Eugene
2017
The temporal ultraviolet limit for complex bosonic many-body models. Zbl 1217.82010
Balaban, Tadeusz; Feldman, Joel; Knörrer, Horst; Trubowitz, Eugene
2010
A functional integral representation for many Boson systems II: Correlation functions. Zbl 1159.82004
Balaban, Tadeusz; Feldman, Joel; Knörrer, Horst; Trubowitz, Eugene
2008
Low temperature properties for correlation functions in classical $$N$$-vector spin models. Zbl 0932.81024
1999
Convergent renormalization expansions for lattice gauge theories. Zbl 0664.58050
Balaban, T.
1988
Power series representations for bosonic effective actions. Zbl 1166.82007
Balaban, Tadeusz; Feldman, Joel; Knörrer, Horst; Trubowitz, Eugene
2009
A functional integral representation for many Boson systems I: The partition function. Zbl 1159.82003
Balaban, Tadeusz; Feldman, Joel; Knörrer, Horst; Trubowitz, Eugene
2008
Large field renormalization. I: The basic step of the $${\mathbb{R}}$$ operation. Zbl 0704.58059
1989
Block renormalization group for Euclidean fermions. Zbl 0685.58047
Balaban, Tadeusz; O’Carroll, Michael; Schor, Ricardo
1989
Power series representations for complex bosonic effective actions. II: A small field renormalization group flow. Zbl 1310.82006
Balaban, Tadeusz; Feldman, Joel; Knörrer, Horst; Trubowitz, Eugene
2010
Power series representations for complex bosonic effective actions. I: A small field renormalization group step. Zbl 1310.82005
Balaban, Tadeusz; Feldman, Joel; Knörrer, Horst; Trubowitz, Eugene
2010
A low temperature expansion for classical $$N$$-vector models. II: Renormalization group equations. Zbl 0869.60095
1996
Localization expansions. I: Functions of the “background” configurations. Zbl 0878.60072
1996
A low temperature expansion for classical $$N$$-vector models. III: A complete inductive description, fluctuation integrals. Zbl 0924.60096
1998
Renormalization and localization expansions. II: Expectation values of the ”fluctuation” measures. Zbl 0932.81020
1998
The large field renormalization operation for classical $$N$$-vector models. Zbl 0940.81034
1998
The variational problems for classical $$N$$-vector models. Zbl 0838.60092
1996
On the mixed problem for a hyperbolic equation. Zbl 0219.35058
Bałaban, T.
1971
A simple method for correlation functions via the effective actions in the renormalization group framework. Zbl 0926.46059
1997
Block averaging renormalization group for lattice and continuum Euclidean fermions: Expected and unexpected results. Zbl 0681.58041
Balaban, Tadeusz; O’Carroll, Michael; Schor, Ricardo
1989
Ultraviolet stability for a model of interacting scalar and vector fields. Zbl 0476.58031
1981
On the mixed problem for a hyperbolic equation. Zbl 0176.40401
Balaban, T.
1969
Complex bosonic many-body models: overview of the small field parabolic flow. Zbl 1387.82029
Balaban, Tadeusz; Feldman, Joel; Knörrer, Horst; Trubowitz, Eugene
2017
The temporal ultraviolet limit for complex bosonic many-body models. Zbl 1217.82010
Balaban, Tadeusz; Feldman, Joel; Knörrer, Horst; Trubowitz, Eugene
2010
Power series representations for complex bosonic effective actions. II: A small field renormalization group flow. Zbl 1310.82006
Balaban, Tadeusz; Feldman, Joel; Knörrer, Horst; Trubowitz, Eugene
2010
Power series representations for complex bosonic effective actions. I: A small field renormalization group step. Zbl 1310.82005
Balaban, Tadeusz; Feldman, Joel; Knörrer, Horst; Trubowitz, Eugene
2010
Power series representations for bosonic effective actions. Zbl 1166.82007
Balaban, Tadeusz; Feldman, Joel; Knörrer, Horst; Trubowitz, Eugene
2009
A functional integral representation for many Boson systems II: Correlation functions. Zbl 1159.82004
Balaban, Tadeusz; Feldman, Joel; Knörrer, Horst; Trubowitz, Eugene
2008
A functional integral representation for many Boson systems I: The partition function. Zbl 1159.82003
Balaban, Tadeusz; Feldman, Joel; Knörrer, Horst; Trubowitz, Eugene
2008
Low temperature properties for correlation functions in classical $$N$$-vector spin models. Zbl 0932.81024
1999
A low temperature expansion for classical $$N$$-vector models. III: A complete inductive description, fluctuation integrals. Zbl 0924.60096
1998
Renormalization and localization expansions. II: Expectation values of the ”fluctuation” measures. Zbl 0932.81020
1998
The large field renormalization operation for classical $$N$$-vector models. Zbl 0940.81034
1998
A simple method for correlation functions via the effective actions in the renormalization group framework. Zbl 0926.46059
1997
A low temperature expansion for classical $$N$$-vector models. II: Renormalization group equations. Zbl 0869.60095
1996
Localization expansions. I: Functions of the “background” configurations. Zbl 0878.60072
1996
The variational problems for classical $$N$$-vector models. Zbl 0838.60092
1996
A low temperature expansion for classical $$N$$-vector models. I: A renormalization group flow. Zbl 0811.60100
1995
Large field renormalization. II: Localization, exponentiation, and bounds for the $${\mathbb{R}}$$ operation. Zbl 0704.58060
1989
Large field renormalization. I: The basic step of the $${\mathbb{R}}$$ operation. Zbl 0704.58059
1989
Block renormalization group for Euclidean fermions. Zbl 0685.58047
Balaban, Tadeusz; O’Carroll, Michael; Schor, Ricardo
1989
Block averaging renormalization group for lattice and continuum Euclidean fermions: Expected and unexpected results. Zbl 0681.58041
Balaban, Tadeusz; O’Carroll, Michael; Schor, Ricardo
1989
Renormalization group approach to lattice gauge field theories. II: Cluster expansions. Zbl 0688.53045
1988
Convergent renormalization expansions for lattice gauge theories. Zbl 0664.58050
Balaban, T.
1988
Renormalization group approach to lattice gauge field theories. I: Generation of effective actions in a small field approximation and a coupling constant renormalization in four dimensions. Zbl 0611.53080
1987
Renormalization of the Higgs model: Minimizers, propagators and the stability of mean field theory. Zbl 1223.81136
Bałaban, Tadeusz; Imbrie, John; Jaffe, Arthur
1985
Propagators for lattice gauge theories in a background field. Zbl 0579.35075
Bałaban, T.
1985
The variational problem and background fields in renormalization group method for lattice gauge theories. Zbl 0594.58026
Balaban, T.
1985
Ultraviolet stability of three-dimensional lattice pure gauge field theories. Zbl 0595.58047
Balaban, T.
1985
Averaging operations for lattice gauge theories. Zbl 0579.35072
Bałaban, T.
1985
Spaces of regular gauge field configurations on a lattice and gauge fixing conditions. Zbl 0579.35074
Bałaban, T.
1985
Propagators and renormalization transformations for lattice gauge theories. I. Zbl 0579.35070
Bałaban, T.
1984
Propagators and renormalization transformations for lattice gauge theories. II. Zbl 0579.35071
Bałaban, T.
1984
The mass gap for Higgs models on a unit lattice. Zbl 0583.46060
Balaban, Tadeusz; Imbrie, John; Jaffe, Arthur; Brydges, David
1984
Regularity and decay of lattice Green’s functions. Zbl 0555.35113
1983
A low temperature expansion for the pseudoscalar Yukawa model of quantum fields in two space-time dimensions. Zbl 0509.46059
Balaban, T.; Gawedzki, K.
1982
Ultraviolet stability for a model of interacting scalar and vector fields. Zbl 0476.58031
1981
On the mixed problem for a hyperbolic equation. Zbl 0219.35058
Bałaban, T.
1971
On the mixed problem for a hyperbolic equation. Zbl 0176.40401
Balaban, T.
1969
all top 5

#### Cited by 120 Authors

 21 Balaban, Tadeusz 8 Dimock, Jonathan 8 Feldman, Joel S. 8 Knörrer, Horst 8 O’Carroll, Michael L. 8 Trubowitz, Eugene 6 Balaban, Teodor-Silviu 5 Imbrie, John Z. 4 Fröhlich, Jürg Martin 3 Borgs, Christian 3 Faria da Veiga, Paulo A. 3 Janowsky, Steven A. 3 Liegener, Klaus 3 Lohmann, Martin 3 Marchetti, Pieralberto A. 3 Pereira, Emmanuel A. 3 Rivasseau, Vincent 3 Salmhofer, Manfred 3 Schor, Ricardo S. 3 Slade, Gordon 3 Weitsman, Jonathan 2 Albeverio, Sergio A. 2 Bauerschmidt, Roland 2 Brydges, David C. 2 Cenatiempo, Serena 2 Chatterjee, Sourav 2 Driver, Bruce K. 2 Giuliani, Alessandro 2 Goswami, Abhishek 2 Gross, Leonard 2 King, C. Marin 2 Mack, Gerhard 2 Mack, Gregory A. 2 Magnen, Jacques 2 Procacci, Aldo 2 Schlein, Benjamin 2 Scoppola, Benedetto 2 Seiringer, Robert 2 Summers, Stephen Jeffrey 2 Thiemann, Thomas 2 van Enter, Aernout C. D. 1 Abdesselam, Abdelmalek 1 Adhikari, Arka 1 Antinucci, Giovanni 1 Bartels, Marcus 1 Beals, Richard W. 1 Brennecke, Christian 1 Bricmont, Jean 1 Challifour, John L. 1 Charalambous, Nelia 1 Chevyrev, Ilya 1 Conache, Diana 1 Correggi, Michele 1 de Melo, G. R. 1 de Montigny, Marc 1 Deuchert, Andreas 1 Dmitriev, V. B. 1 Driessler, Wulf 1 Duminil-Copin, Hugo 1 Erignoux, Clément 1 Fernández, Roberto 1 Fresta, Luca 1 Giuliani, Andrew 1 Golowich, Steven E. 1 Gorgini, M. 1 Goswami, Subhajit 1 Grießl, Max 1 Heydenreich, Markus 1 Hurd, Thomas R. 1 Ikawa, Mitsuru 1 Iwata, Koichiro 1 Jaffe, Arthur Michael 1 Kennedy, Tom 1 Kerres, U. 1 King, Christopher K. 1 Knowles, Antti 1 Kolsrud, Torbjörn 1 Kopper, Christoph 1 Külske, Christof 1 Kupiainen, Antti 1 Lang, Thierry 1 Lang, Timo 1 Lefevere, Raphaël 1 Malyshev, Vadim Aleksandrovich 1 Marchetti, Domingos H. U. 1 Merkl, Franz 1 Mitter, Pronob K. 1 Müller, Volkhard F. 1 Nill, Florian 1 Ogilvie, Michael C. 1 Palma, G. Massimo 1 Palma, Gary E. 1 Palma, Gonzalo A. 1 Peled, Ron 1 Pompeia, P. J. 1 Pordt, Andreas 1 Porta, Marcello 1 Raoufi, Aran 1 Rolles, Silke W. W. 1 Ruszel, Wioletta Magdalena ...and 20 more Authors
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#### Cited in 24 Serials

 50 Communications in Mathematical Physics 15 Journal of Mathematical Physics 12 Journal of Statistical Physics 10 Annales Henri Poincaré 4 Nuclear Physics. B 3 Letters in Mathematical Physics 3 Journal of Functional Analysis 2 Archive for Rational Mechanics and Analysis 2 Classical and Quantum Gravity 2 Reviews in Mathematical Physics 2 Annales de l’Institut Henri Poincaré. Physique Théorique 1 International Journal of Theoretical Physics 1 Physics Reports 1 Theoretical and Mathematical Physics 1 Duke Mathematical Journal 1 Journal of Soviet Mathematics 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Annals of Physics 1 Stochastic Processes and their Applications 1 Russian Mathematics 1 Mathematical Physics, Analysis and Geometry 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of High Energy Physics 1 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD)
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#### Cited in 15 Fields

 85 Quantum theory (81-XX) 52 Statistical mechanics, structure of matter (82-XX) 21 Probability theory and stochastic processes (60-XX) 15 Partial differential equations (35-XX) 15 Global analysis, analysis on manifolds (58-XX) 12 Differential geometry (53-XX) 9 Functional analysis (46-XX) 4 Functions of a complex variable (30-XX) 4 Relativity and gravitational theory (83-XX) 3 Operator theory (47-XX) 2 Algebraic geometry (14-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX)