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
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
Wang, Zhituo Constructive renormalization of the 2-dimensional Grosse-Wulkenhaar model. (English) Zbl 1456.81306 Ann. Henri Poincaré 19, No. 8, 2435-2490 (2018). MSC: 81T10 81T32 81R60 PDF BibTeX XML Cite \textit{Z. Wang}, Ann. Henri Poincaré 19, No. 8, 2435--2490 (2018; Zbl 1456.81306) Full Text: DOI
Lionni, Luca; Rivasseau, Vincent Note on the intermediate field representation of \(\phi^{2k}\) theory in zero dimension. (English) Zbl 1395.81147 Math. Phys. Anal. Geom. 21, No. 3, Paper No. 23, 20 p. (2018). MSC: 81T08 PDF BibTeX XML Cite \textit{L. Lionni} and \textit{V. Rivasseau}, Math. Phys. Anal. Geom. 21, No. 3, Paper No. 23, 20 p. (2018; Zbl 1395.81147) Full Text: DOI arXiv
Chirco, Goffredo; Oriti, Daniele; Zhang, Mingyi Group field theory and tensor networks: towards a Ryu-Takayanagi formula in full quantum gravity. (English) Zbl 1393.83015 Classical Quantum Gravity 35, No. 11, Article ID 115011, 36 p. (2018). MSC: 83C45 62P35 81T10 PDF BibTeX XML Cite \textit{G. Chirco} et al., Classical Quantum Gravity 35, No. 11, Article ID 115011, 36 p. (2018; Zbl 1393.83015) Full Text: DOI
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
Carrozza, Sylvain; Tanasa, Adrian \(O(N)\) random tensor models. (English) Zbl 1362.83010 Lett. Math. Phys. 106, No. 11, 1531-1559 (2016). MSC: 83C27 81T18 05C30 PDF BibTeX XML Cite \textit{S. Carrozza} and \textit{A. Tanasa}, Lett. Math. Phys. 106, No. 11, 1531--1559 (2016; Zbl 1362.83010) 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
Carrozza, Sylvain Flowing in group field theory space: a review. (English) Zbl 1343.81177 SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 070, 30 p. (2016). MSC: 81T15 81T16 83C27 83C45 PDF BibTeX XML Cite \textit{S. Carrozza}, SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 070, 30 p. (2016; Zbl 1343.81177) 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
Delepouve, Thibault; Gurau, Razvan; Rivasseau, Vincent Universality and Borel summability of arbitrary quartic tensor models. (English. French summary) Zbl 1341.81045 Ann. Inst. Henri Poincaré, Probab. Stat. 52, No. 2, 821-848 (2016). MSC: 81T30 81T08 81T15 81T18 40G10 81T40 83C45 PDF BibTeX XML Cite \textit{T. Delepouve} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 52, No. 2, 821--848 (2016; Zbl 1341.81045) Full Text: DOI Euclid arXiv
Bonzom, Valentin; Delepouve, Thibault; Rivasseau, Vincent Enhancing non-melonic triangulations: a tensor model mixing melonic and planar maps. (English) Zbl 1329.81258 Nucl. Phys., B 895, 161-191 (2015). MSC: 81T10 81T16 82B30 82D60 83C45 05C05 05C80 PDF BibTeX XML Cite \textit{V. Bonzom} et al., Nucl. Phys., B 895, 161--191 (2015; Zbl 1329.81258) Full Text: DOI arXiv
Gurau, Razvan; Rivasseau, Vincent The multiscale loop vertex expansion. (English) Zbl 1321.81046 Ann. Henri Poincaré 16, No. 8, 1869-1897 (2015). MSC: 81T25 81T15 PDF BibTeX XML Cite \textit{R. Gurau} and \textit{V. Rivasseau}, Ann. Henri Poincaré 16, No. 8, 1869--1897 (2015; Zbl 1321.81046) Full Text: DOI arXiv
Rivasseau, Vincent; Wang, Zhituo Corrected loop vertex expansion for \(\Phi_2^4\) theory. (English) Zbl 1317.81190 J. Math. Phys. 56, No. 6, 062301, 23 p. (2015). MSC: 81T08 81T15 PDF BibTeX XML Cite \textit{V. Rivasseau} and \textit{Z. Wang}, J. Math. Phys. 56, No. 6, 062301, 23 p. (2015; Zbl 1317.81190) Full Text: DOI arXiv
Kamiński, Wojciech; Oriti, Daniele; Ryan, James P. Towards a double scaling limit for tensor models: probing sub-dominant orders. (English) Zbl 1451.81276 New J. Phys. 16, No. 6, Article ID 063048, 36 p. (2014). MSC: 81R50 81R20 PDF BibTeX XML Cite \textit{W. Kamiński} et al., New J. Phys. 16, No. 6, Article ID 063048, 36 p. (2014; Zbl 1451.81276) 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 The \(1/N\) expansion of tensor models beyond perturbation theory. (English) Zbl 1297.81126 Commun. Math. Phys. 330, No. 3, 973-1019 (2014). Reviewer: Yang-Hui He (London) MSC: 81T05 81T08 PDF BibTeX XML Cite \textit{R. Gurau}, Commun. Math. Phys. 330, No. 3, 973--1019 (2014; Zbl 1297.81126) 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
Rivasseau, Vincent; Tanasa, Adrian Generalized constructive tree weights. (English) Zbl 1292.81099 J. Math. Phys. 55, No. 4, 043509, 13 p. (2014). MSC: 81T16 81T18 PDF BibTeX XML Cite \textit{V. Rivasseau} and \textit{A. Tanasa}, J. Math. Phys. 55, No. 4, 043509, 13 p. (2014; Zbl 1292.81099) 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
Fani, Somayeh; Kaviani, Kamran From dimensional reduction of 4d spin foam model to adding non-gravitational fields to 3d spin foam model. (English) Zbl 1282.83020 Int. J. Geom. Methods Mod. Phys. 11, No. 1, Article ID 1450002, 11 p. (2014). MSC: 83C45 83E15 PDF BibTeX XML Cite \textit{S. Fani} and \textit{K. Kaviani}, Int. J. Geom. Methods Mod. Phys. 11, No. 1, Article ID 1450002, 11 p. (2014; Zbl 1282.83020) 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
Perez, Alejandro The spin-foam approach to quantum gravity. (English) Zbl 1320.83008 Living Rev. Relativ. 16, Article No. 2013-3, 128 p. (2013). MSC: 83-02 83C45 83C05 83C60 81S40 83C27 PDF BibTeX XML Cite \textit{A. Perez}, Living Rev. Relativ. 16, Article No. 2013--3, 128 p. (2013; Zbl 1320.83008) 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
Ben Geloun, Joseph Classical group field theory. (English) Zbl 1274.83048 J. Math. Phys. 53, No. 2, 022901, 31 p. (2012). MSC: 83C45 70S10 70S99 22E70 PDF BibTeX XML Cite \textit{J. Ben Geloun}, J. Math. Phys. 53, No. 2, 022901, 31 p. (2012; Zbl 1274.83048) Full Text: DOI arXiv
Bonzom, Valentin; Smerlak, Matteo Bubble divergences: sorting out topology from cell structure. (English) Zbl 1243.83026 Ann. Henri Poincaré 13, No. 1, 185-208 (2012). MSC: 83C45 14N35 54F65 81V22 81S40 PDF BibTeX XML Cite \textit{V. Bonzom} and \textit{M. Smerlak}, Ann. Henri Poincaré 13, No. 1, 185--208 (2012; Zbl 1243.83026) 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
Oriti, Daniele; Sindoni, Lorenzo Toward classical geometrodynamics from the group field theory hydrodynamics. (English) Zbl 1448.76008 New J. Phys. 13, No. 2, Article ID 025006, 44 p. (2011). MSC: 76A02 81T99 PDF BibTeX XML Cite \textit{D. Oriti} and \textit{L. Sindoni}, New J. Phys. 13, No. 2, Article ID 025006, 44 p. (2011; Zbl 1448.76008) Full Text: DOI
Geloun, Joseph Ben; Bonzom, Valentin Radiative corrections in the Boulatov-Ooguri tensor model: the 2-point function. (English) Zbl 1236.81164 Int. J. Theor. Phys. 50, No. 9, 2819-2841 (2011). MSC: 81T30 81T17 PDF BibTeX XML Cite \textit{J. B. Geloun} and \textit{V. Bonzom}, Int. J. Theor. Phys. 50, No. 9, 2819--2841 (2011; Zbl 1236.81164) Full Text: DOI arXiv
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
Rivasseau, Vincent; Wang, Zhituo Loop vertex expansion for \(\phi^{2k}\) theory in zero dimension. (English) Zbl 1309.81128 J. Math. Phys. 51, No. 9, 092304, 17 p. (2010). MSC: 81T08 81T15 PDF BibTeX XML Cite \textit{V. Rivasseau} and \textit{Z. Wang}, J. Math. Phys. 51, No. 9, 092304, 17 p. (2010; Zbl 1309.81128) Full Text: DOI arXiv
Gurau, Razvan A diagrammatic equation for oriented planar graphs. (English) Zbl 1206.81076 Nucl. Phys., B 839, No. 3, 580-603 (2010). MSC: 81T10 81T18 15B52 PDF BibTeX XML Cite \textit{R. Gurau}, Nucl. Phys., B 839, No. 3, 580--603 (2010; Zbl 1206.81076) Full Text: DOI arXiv