Pereira, Antonio D. Quantum spacetime and the renormalization group: progress and visions. (English) Zbl 1445.83012 Finster, Felix (ed.) et al., Progress and visions in quantum theory in view of gravity: bridging foundations of physics and mathematics. Selected talks presented at the seventh international conference, Leipzig, Germany, October 1–5, 2018. Cham: Birkhäuser. 93-117 (2020). MSC: 83C45 81T17 PDF BibTeX XML Cite \textit{A. D. Pereira}, in: Progress and visions in quantum theory in view of gravity: bridging foundations of physics and mathematics. Selected talks presented at the seventh international conference, Leipzig, Germany, October 1--5, 2018. Cham: Birkhäuser. 93--117 (2020; Zbl 1445.83012) Full Text: DOI
Lee, Sung-Sik A model of quantum gravity with emergent spacetime. (English) Zbl 1437.83040 J. High Energy Phys. 2020, No. 6, Paper No. 70, 66 p. (2020). MSC: 83C45 83E05 PDF BibTeX XML Cite \textit{S.-S. Lee}, J. High Energy Phys. 2020, No. 6, Paper No. 70, 66 p. (2020; Zbl 1437.83040) Full Text: DOI arXiv
Dartois, Stéphane; Evnin, Oleg; Lionni, Luca; Rivasseau, Vincent; Valette, Guillaume Melonic turbulence. (English) Zbl 1436.81095 Commun. Math. Phys. 374, No. 2, 1179-1228 (2020). Reviewer: Akira Asada (Takarazuka) MSC: 81T15 81T18 81T20 35Q55 35B34 81T32 81V73 78A37 82B26 34L40 46E36 PDF BibTeX XML Cite \textit{S. Dartois} et al., Commun. Math. Phys. 374, No. 2, 1179--1228 (2020; Zbl 1436.81095) Full Text: DOI
Itoyama, H.; Yoshioka, R. Generalized cut operation associated with higher order variation in tensor models. (English) Zbl 1430.81064 Nucl. Phys., B 945, Article ID 114681, 13 p. (2019). MSC: 81T32 81T35 PDF BibTeX XML Cite \textit{H. Itoyama} and \textit{R. Yoshioka}, Nucl. Phys., B 945, Article ID 114681, 13 p. (2019; Zbl 1430.81064) Full Text: DOI
Lionni, Luca; Rivasseau, Vincent Intermediate field representation for positive matrix and tensor interactions. (English) Zbl 1425.81074 Ann. Henri Poincaré 20, No. 10, 3265-3311 (2019). MSC: 81T10 81P15 40D20 81T16 81T18 PDF BibTeX XML Cite \textit{L. Lionni} and \textit{V. Rivasseau}, Ann. Henri Poincaré 20, No. 10, 3265--3311 (2019; Zbl 1425.81074) Full Text: DOI arXiv
Ferrari, Frank; Rivasseau, Vincent; Valette, Guillaume A new large \(N\) expansion for general matrix-tensor models. (English) Zbl 07100582 Commun. Math. Phys. 370, No. 2, 403-448 (2019). MSC: 81Q30 81T27 81T18 60B20 PDF BibTeX XML Cite \textit{F. Ferrari} et al., Commun. Math. Phys. 370, No. 2, 403--448 (2019; Zbl 07100582) Full Text: DOI
Rivasseau, V.; Vignes-Tourneret, F. Constructive tensor field theory: the \(T_{4}^{4}\) model. (English) Zbl 1417.81148 Commun. Math. Phys. 366, No. 2, 567-646 (2019). Reviewer: T. C. Mohan (Chennai) MSC: 81T10 81T15 81T08 PDF BibTeX XML Cite \textit{V. Rivasseau} and \textit{F. Vignes-Tourneret}, Commun. Math. Phys. 366, No. 2, 567--646 (2019; Zbl 1417.81148) Full Text: DOI
Ben Geloun, Joseph; Toriumi, Reiko Renormalizable enhanced tensor field theory: the quartic melonic case. (English) Zbl 1408.83024 J. Math. Phys. 59, No. 11, 112303, 39 p. (2018). MSC: 83C45 83C05 81T10 81T15 PDF BibTeX XML Cite \textit{J. Ben Geloun} and \textit{R. Toriumi}, J. Math. Phys. 59, No. 11, 112303, 39 p. (2018; Zbl 1408.83024) Full Text: DOI
Ben Geloun, Joseph; Rivasseau, Vincent A renormalizable SYK-type tensor field theory. (English) Zbl 1402.81185 Ann. Henri Poincaré 19, No. 11, 3357-3395 (2018). MSC: 81T10 81T15 82D20 PDF BibTeX XML Cite \textit{J. Ben Geloun} and \textit{V. Rivasseau}, Ann. Henri Poincaré 19, No. 11, 3357--3395 (2018; Zbl 1402.81185) Full Text: DOI
Bonzom, Valentin; Dartois, Stéphane Blobbed topological recursion for the quartic melonic tensor model. (English) Zbl 1400.81159 J. Phys. A, Math. Theor. 51, No. 32, Article ID 325201, 51 p. (2018). MSC: 81T30 60B20 81T15 03D80 14N35 81T70 PDF BibTeX XML Cite \textit{V. Bonzom} and \textit{S. Dartois}, J. Phys. A, Math. Theor. 51, No. 32, Article ID 325201, 51 p. (2018; Zbl 1400.81159) Full Text: DOI
Diaz, Pablo Tensor and matrix models: a one-night stand or a lifetime romance? (English) Zbl 1395.81184 J. High Energy Phys. 2018, No. 6, Paper No. 140, 19 p. (2018). MSC: 81T30 80A10 83D05 81Q10 PDF BibTeX XML Cite \textit{P. Diaz}, J. High Energy Phys. 2018, No. 6, Paper No. 140, 19 p. (2018; Zbl 1395.81184) Full Text: DOI arXiv
Diaz, Pablo; Rey, Soo-Jong Invariant operators, orthogonal bases and correlators in general tensor models. (English) Zbl 1391.81118 Nucl. Phys., B 932, 254-277 (2018). MSC: 81T10 81T30 81V70 81R05 81P40 PDF BibTeX XML Cite \textit{P. Diaz} and \textit{S.-J. Rey}, Nucl. Phys., B 932, 254--277 (2018; Zbl 1391.81118) Full Text: DOI
Geloun, Joseph Ben; Ramgoolam, Sanjaye Tensor models, Kronecker coefficients and permutation centralizer algebras. (English) Zbl 1383.81213 J. High Energy Phys. 2017, No. 11, Paper No. 92, 75 p. (2017). MSC: 81T40 83C05 81R05 PDF BibTeX XML Cite \textit{J. B. Geloun} and \textit{S. Ramgoolam}, J. High Energy Phys. 2017, No. 11, Paper No. 92, 75 p. (2017; Zbl 1383.81213) Full Text: DOI arXiv
Itoyama, H.; Mironov, A.; Morozov, A. Ward identities and combinatorics of rainbow tensor models. (English) Zbl 1380.83067 J. High Energy Phys. 2017, No. 6, Paper No. 115, 68 p. (2017). MSC: 83C27 62P35 81T40 81T17 PDF BibTeX XML Cite \textit{H. Itoyama} et al., J. High Energy Phys. 2017, No. 6, Paper No. 115, 68 p. (2017; Zbl 1380.83067) Full Text: DOI
Gross, David J.; Rosenhaus, Vladimir The bulk dual of SYK: cubic couplings. (English) Zbl 1380.81322 J. High Energy Phys. 2017, No. 5, Paper No. 92, 33 p. (2017). MSC: 81T40 81R12 PDF BibTeX XML Cite \textit{D. J. Gross} and \textit{V. Rosenhaus}, J. High Energy Phys. 2017, No. 5, Paper No. 92, 33 p. (2017; Zbl 1380.81322) Full Text: DOI
Carrozza, Sylvain; Lahoche, Vincent Asymptotic safety in three-dimensional \({\mathrm SU}(2)\)SU(2) group field theory: evidence in the local potential approximation. (English) Zbl 1370.83024 Classical Quantum Gravity 34, No. 11, Article ID 115004, 44 p. (2017). MSC: 83C45 81T17 81T20 83C27 PDF BibTeX XML Cite \textit{S. Carrozza} and \textit{V. Lahoche}, Classical Quantum Gravity 34, No. 11, Article ID 115004, 44 p. (2017; Zbl 1370.83024) Full Text: DOI
Kegeles, Alexander; Oriti, Daniele Continuous point symmetries in group field theories. (English) Zbl 1362.81066 J. Phys. A, Math. Theor. 50, No. 12, Article ID 125402, 36 p. (2017). MSC: 81T10 70S20 70S05 70S10 83C45 82C10 PDF BibTeX XML Cite \textit{A. Kegeles} and \textit{D. Oriti}, J. Phys. A, Math. Theor. 50, No. 12, Article ID 125402, 36 p. (2017; Zbl 1362.81066) Full Text: DOI arXiv
Gurau, Razvan Invitation to random tensors. (English) Zbl 1346.83030 SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 094, 12 p. (2016). MSC: 83C45 PDF BibTeX XML Cite \textit{R. Gurau}, SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 094, 12 p. (2016; Zbl 1346.83030) Full Text: DOI arXiv
Rivasseau, Vincent Constructive tensor field theory. (English) Zbl 1346.81060 SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 085, 31 p. (2016). MSC: 81T08 81T15 81T18 81-02 PDF BibTeX XML Cite \textit{V. Rivasseau}, SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 085, 31 p. (2016; Zbl 1346.81060) Full Text: DOI arXiv
Bonzom, Valentin Large \(N\) limits in tensor models: towards more universality classes of colored triangulations in dimension \(d\geq 2\). (English) Zbl 1343.05059 SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 073, 39 p. (2016). MSC: 05C15 05C10 83C45 81T18 83C27 PDF BibTeX XML Cite \textit{V. Bonzom}, SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 073, 39 p. (2016; Zbl 1343.05059) Full Text: DOI arXiv
Delepouve, Thibault; Rivasseau, Vincent Constructive tensor field theory: the \({T^4_3}\) model. (English) Zbl 1345.81073 Commun. Math. Phys. 345, No. 2, 477-506 (2016). Reviewer: Gabor Etesi (Budapest) MSC: 81T08 81T15 81U20 55R10 PDF BibTeX XML Cite \textit{T. Delepouve} and \textit{V. Rivasseau}, Commun. Math. Phys. 345, No. 2, 477--506 (2016; Zbl 1345.81073) Full Text: DOI arXiv
Fukuma, Masafumi; Sugishita, Sotaro; Umeda, Naoya Random volumes from matrices. (English) Zbl 1388.81529 J. High Energy Phys. 2015, No. 7, Paper No. 88, 31 p. (2015). MSC: 81T30 83C45 83C27 PDF BibTeX XML Cite \textit{M. Fukuma} et al., J. High Energy Phys. 2015, No. 7, Paper No. 88, 31 p. (2015; Zbl 1388.81529) Full Text: DOI arXiv
Lahoche, Vincent; Oriti, Daniele; Rivasseau, Vincent Renormalization of an abelian tensor group field theory: solution at leading order. (English) Zbl 1388.83127 J. High Energy Phys. 2015, No. 4, Paper No. 95, 41 p. (2015). MSC: 83C45 PDF BibTeX XML Cite \textit{V. Lahoche} et al., J. High Energy Phys. 2015, No. 4, Paper No. 95, 41 p. (2015; Zbl 1388.83127) Full Text: DOI
Benedetti, Dario; Geloun, Joseph Ben; Oriti, Daniele Functional renormalisation group approach for tensorial group field theory: a rank-3 model. (English) Zbl 1388.83088 J. High Energy Phys. 2015, No. 3, Paper No. 84, 40 p. (2015). MSC: 83C45 81T08 81T17 81T10 PDF BibTeX XML Cite \textit{D. Benedetti} et al., J. High Energy Phys. 2015, No. 3, Paper No. 84, 40 p. (2015; Zbl 1388.83088) Full Text: DOI arXiv
Avohou, Remi C.; Rivasseau, Vincent; Tanasa, Adrian Renormalization and Hopf algebraic structure of the five-dimensional quartic tensor field theory. (English) Zbl 1331.83021 J. Phys. A, Math. Theor. 48, No. 48, Article ID 485204, 20 p. (2015). MSC: 83C45 81T15 16T05 PDF BibTeX XML Cite \textit{R. C. Avohou} et al., J. Phys. A, Math. Theor. 48, No. 48, Article ID 485204, 20 p. (2015; Zbl 1331.83021) Full Text: DOI arXiv
Ben Geloun, Joseph; Toriumi, Reiko Parametric representation of rank \(d\) tensorial group field theory: abelian models with kinetic term \(\sum_s \left|p_s\right| + \mu\). (English) Zbl 1322.83011 J. Math. Phys. 56, No. 9, 093503, 53 p. (2015). MSC: 83C45 81T20 81T15 PDF BibTeX XML Cite \textit{J. Ben Geloun} and \textit{R. Toriumi}, J. Math. Phys. 56, No. 9, 093503, 53 p. (2015; Zbl 1322.83011) Full Text: DOI arXiv
Carrozza, Sylvain Discrete renormalization group for \(\mathrm{SU}(2)\) tensorial group field theory. (English) Zbl 1319.81068 Ann. Inst. Henri Poincaré D, Comb. Phys. Interact. (AIHPD) 2, No. 1, 49-112 (2015). Reviewer: Jorge Pullin (Baton Rouge) MSC: 81T20 81T17 83C45 PDF BibTeX XML Cite \textit{S. Carrozza}, Ann. Inst. Henri Poincaré D, Comb. Phys. Interact. (AIHPD) 2, No. 1, 49--112 (2015; Zbl 1319.81068) Full Text: DOI arXiv
Bonzom, Valentin; Combes, Frédéric Tensor models from the viewpoint of matrix models: the cases of loop models on random surfaces and of the Gaussian distribution. (English) Zbl 1310.05084 Ann. Inst. Henri Poincaré D, Comb. Phys. Interact. 2, No. 1, 1-47 (2015). MSC: 05C15 05C30 60B20 15B52 PDF BibTeX XML Cite \textit{V. Bonzom} and \textit{F. Combes}, Ann. Inst. Henri Poincaré D, Comb. Phys. Interact. (AIHPD) 2, No. 1, 1--47 (2015; Zbl 1310.05084) Full Text: DOI
Rivasseau, V. The tensor track, III. (English) Zbl 1338.83085 Fortschr. Phys. 62, No. 2, 81-107 (2014). MSC: 83C45 83-02 83-01 PDF BibTeX XML Cite \textit{V. Rivasseau}, Fortschr. Phys. 62, No. 2, 81--107 (2014; Zbl 1338.83085) Full Text: DOI arXiv
Gurau, Razvan Universality for random tensors. (English. French summary) Zbl 1318.60010 Ann. Inst. Henri Poincaré, Probab. Stat. 50, No. 4, 1474-1525 (2014). Reviewer: Hiroaki Shimomura (Tokyo) MSC: 60B99 60F99 PDF BibTeX XML Cite \textit{R. Gurau}, Ann. Inst. Henri Poincaré, Probab. Stat. 50, No. 4, 1474--1525 (2014; Zbl 1318.60010) Full Text: DOI Euclid arXiv
Ben Geloun, Joseph Renormalizable models in rank \({d \geq 2}\) tensorial group field theory. (English) Zbl 1300.83043 Commun. Math. Phys. 332, No. 1, 117-188 (2014). MSC: 83E05 81T75 82B20 83C45 81T15 54F65 81T20 PDF BibTeX XML Cite \textit{J. Ben Geloun}, Commun. Math. Phys. 332, No. 1, 117--188 (2014; Zbl 1300.83043) Full Text: DOI arXiv
Carrozza, Sylvain; Oriti, Daniele; Rivasseau, Vincent Renormalization of a \(\mathrm{SU}(2)\) tensorial group field theory in three dimensions. (English) Zbl 1300.83023 Commun. Math. Phys. 330, No. 2, 581-637 (2014). Reviewer: Jochen Zahn (Leipzig) MSC: 83C45 83C47 81T15 81T20 83C80 05C90 PDF BibTeX XML Cite \textit{S. Carrozza} et al., Commun. Math. Phys. 330, No. 2, 581--637 (2014; Zbl 1300.83023) Full Text: DOI arXiv
Carrozza, Sylvain; Oriti, Daniele; Rivasseau, Vincent Renormalization of tensorial group field theories: abelian \(\mathrm U(1)\) models in four dimensions. (English) Zbl 1291.83102 Commun. Math. Phys. 327, No. 2, 603-641 (2014). MSC: 83C45 83C47 81T15 81T20 53C80 53Z05 PDF BibTeX XML Cite \textit{S. Carrozza} et al., Commun. Math. Phys. 327, No. 2, 603--641 (2014; Zbl 1291.83102) Full Text: DOI arXiv
Dartois, Stéphane; Gurau, Razvan; Rivasseau, Vincent Double scaling in tensor models with a quartic interaction. (English) Zbl 1342.83079 J. High Energy Phys. 2013, No. 9, Paper No. 088, 32 p. (2013). MSC: 83C45 81V05 PDF BibTeX XML Cite \textit{S. Dartois} et al., J. High Energy Phys. 2013, No. 9, Paper No. 088, 32 p. (2013; Zbl 1342.83079) Full Text: DOI arXiv
Bonzom, Valentin New \(1/N\) expansions in random tensor models. (English) Zbl 1342.83053 J. High Energy Phys. 2013, No. 6, Paper No. 062, 24 p. (2013). MSC: 83C27 PDF BibTeX XML Cite \textit{V. Bonzom}, J. High Energy Phys. 2013, No. 6, Paper No. 062, 24 p. (2013; Zbl 1342.83053) Full Text: DOI arXiv
Bonzom, Valentin Revisiting random tensor models at large \(N\) via the Schwinger-Dyson equations. (English) Zbl 1342.81174 J. High Energy Phys. 2013, No. 3, Paper No. 160, 24 p. (2013). MSC: 81R10 15B52 PDF BibTeX XML Cite \textit{V. Bonzom}, J. High Energy Phys. 2013, No. 3, Paper No. 160, 24 p. (2013; Zbl 1342.81174) Full Text: DOI arXiv
Ben Geloun, Joseph; Samary, Dine Ousmane 3D tensor field theory: renormalization and one-loop \(\beta \)-functions. (English) Zbl 1272.83028 Ann. Henri Poincaré 14, No. 6, 1599-1642 (2013). MSC: 83C45 81T20 81T15 81S40 PDF BibTeX XML Cite \textit{J. Ben Geloun} and \textit{D. O. Samary}, Ann. Henri Poincaré 14, No. 6, 1599--1642 (2013; Zbl 1272.83028) Full Text: DOI arXiv
Geloun, Joseph Ben; Rivasseau, Vincent A renormalizable 4-dimensional tensor field theory. (English) Zbl 1261.83016 Commun. Math. Phys. 318, No. 1, 69-109 (2013); addendum ibid. 322, No. 3, 957-965 (2013). MSC: 83C45 81T15 81T20 83C05 81S40 PDF BibTeX XML Cite \textit{J. B. Geloun} and \textit{V. Rivasseau}, Commun. Math. Phys. 318, No. 1, 69--109 (2013; Zbl 1261.83016) Full Text: DOI
Carrozza, Sylvain; Oriti, Daniele Bubbles and jackets: new scaling bounds in topological group field theories. (English) Zbl 1397.81324 J. High Energy Phys. 2012, No. 6, Paper No. 92, 42 p. (2012). MSC: 81T45 81T75 PDF BibTeX XML Cite \textit{S. Carrozza} and \textit{D. Oriti}, J. High Energy Phys. 2012, No. 6, Paper No. 92, 42 p. (2012; Zbl 1397.81324) Full Text: DOI
Gurau, Razvan The Schwinger Dyson equations and the algebra of constraints of random tensor models at all orders. (English) Zbl 1262.81138 Nucl. Phys., B 865, No. 1, 133-147 (2012). MSC: 81T30 81R10 05C05 05C10 05C90 22E70 PDF BibTeX XML Cite \textit{R. Gurau}, Nucl. Phys., B 865, No. 1, 133--147 (2012; Zbl 1262.81138) Full Text: DOI arXiv
Gurau, Razvan The complete \(1/N\) expansion of colored tensor models in arbitrary dimension. (English) Zbl 1245.81118 Ann. Henri Poincaré 13, No. 3, 399-423 (2012). MSC: 81T18 81V17 83C45 PDF BibTeX XML Cite \textit{R. Gurau}, Ann. Henri Poincaré 13, No. 3, 399--423 (2012; Zbl 1245.81118) Full Text: DOI arXiv
Benedetti, Dario; Gurau, Razvan Phase transition in dually weighted colored tensor models. (English) Zbl 1229.81208 Nucl. Phys., B 855, No. 2, 420-437 (2012). MSC: 81T27 82C27 PDF BibTeX XML Cite \textit{D. Benedetti} and \textit{R. Gurau}, Nucl. Phys., B 855, No. 2, 420--437 (2012; Zbl 1229.81208) Full Text: DOI arXiv
Baratin, Aristide; Oriti, Daniele Quantum simplicial geometry in the group field theory formalism: reconsidering the barrett–crane model. (English) Zbl 1448.83034 New J. Phys. 13, No. 12, Article ID 125011, 28 p. (2011). MSC: 83D05 81T45 PDF BibTeX XML Cite \textit{A. Baratin} and \textit{D. Oriti}, New J. Phys. 13, No. 12, Article ID 125011, 28 p. (2011; Zbl 1448.83034) Full Text: DOI
Gurau, Razvan A generalization of the Virasoro algebra to arbitrary dimensions. (English) Zbl 1229.81129 Nucl. Phys., B 852, No. 3, 592-614 (2011). MSC: 81R10 81T30 81T10 82B27 PDF BibTeX XML Cite \textit{R. Gurau}, Nucl. Phys., B 852, No. 3, 592--614 (2011; Zbl 1229.81129) Full Text: DOI arXiv
Gurau, Razvan The \(1/N\) expansion of colored tensor models. (English) Zbl 1218.81088 Ann. Henri Poincaré 12, No. 5, 829-847 (2011). MSC: 81T30 81V05 83C45 15B52 PDF BibTeX XML Cite \textit{R. Gurau}, Ann. Henri Poincaré 12, No. 5, 829--847 (2011; Zbl 1218.81088) Full Text: DOI arXiv
Gurau, Razvan Colored group field theory. (English) Zbl 1214.81170 Commun. Math. Phys. 304, No. 1, 69-93 (2011). MSC: 81T18 22A26 81T15 PDF BibTeX XML Cite \textit{R. Gurau}, Commun. Math. Phys. 304, No. 1, 69--93 (2011; Zbl 1214.81170) Full Text: DOI arXiv
Gurau, Razvan Topological graph polynomials in colored group field theory. (English) Zbl 1208.81153 Ann. Henri Poincaré 11, No. 4, 565-584 (2010). MSC: 81T18 PDF BibTeX XML Cite \textit{R. Gurau}, Ann. Henri Poincaré 11, No. 4, 565--584 (2010; Zbl 1208.81153) Full Text: DOI arXiv