Ben Geloun, Joseph; Toriumi, Reiko One-loop beta-functions of quartic enhanced tensor field theories. (English) Zbl 07787483 J. Phys. A, Math. Theor. 57, No. 1, Article ID 015401, 47 p. (2024). MSC: 81-XX 83-XX PDFBibTeX XMLCite \textit{J. Ben Geloun} and \textit{R. Toriumi}, J. Phys. A, Math. Theor. 57, No. 1, Article ID 015401, 47 p. (2024; Zbl 07787483) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{J. Ben Geloun} and \textit{R. Toriumi}, J. Math. Phys. 59, No. 11, 112303, 39 p. (2018; Zbl 1408.83024) Full Text: DOI arXiv Link
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 PDFBibTeX XMLCite \textit{J. Ben Geloun} and \textit{V. Rivasseau}, Ann. Henri Poincaré 19, No. 11, 3357--3395 (2018; Zbl 1402.81185) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \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
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 PDFBibTeX XMLCite \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
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 PDFBibTeX XMLCite \textit{J. Ben Geloun}, Commun. Math. Phys. 332, No. 1, 117--188 (2014; Zbl 1300.83043) Full Text: DOI arXiv
Ben Geloun, Joseph; Klauder, John R. The finite and large-\(N\) behaviors of independent-value matrix models. (English) Zbl 1404.81165 J. Math. Phys. 55, No. 3, 032301, 15 p. (2014). MSC: 81T10 81T15 81V70 46T12 PDFBibTeX XMLCite \textit{J. Ben Geloun} and \textit{J. R. Klauder}, J. Math. Phys. 55, No. 3, 032301, 15 p. (2014; Zbl 1404.81165) Full Text: DOI arXiv
Ben Geloun, J. Asymptotic freedom of rank 4 tensor group field theory. (English) Zbl 1298.83041 Bai, Chengming (ed.) et al., Symmetries and groups in contemporary physics. Proceedings of the XXIX international colloquium on group-theoretical methods in physics, Tianjin, China, August 20–26, 2012. Hackensack, NJ: World Scientific (ISBN 978-981-4518-54-3/hbk; 978-981-4518-56-7/ebook). Nankai Series in Pure, Applied Mathematics and Theoretical Physics 11, 367-372 (2013). MSC: 83C45 81T17 62P35 PDFBibTeX XMLCite \textit{J. Ben Geloun}, Nankai Ser. Pure Appl. Math. Theor. Phys. 11, 367--372 (2013; Zbl 1298.83041) Full Text: DOI arXiv
Geloun, Joseph Ben; Livine, Etera R. Some classes of renormalizable tensor models. (English) Zbl 1287.83021 J. Math. Phys. 54, No. 8, 082303, 25 p. (2013). MSC: 83C45 81T15 PDFBibTeX XMLCite \textit{J. B. Geloun} and \textit{E. R. Livine}, J. Math. Phys. 54, No. 8, 082303, 25 p. (2013; Zbl 1287.83021) Full Text: DOI arXiv
Geloun, Joseph Ben On the finite amplitudes for open graphs in abelian dynamical colored Boulatov-Ooguri models. (English) Zbl 1277.83040 J. Phys. A, Math. Theor. 46, No. 40, Article ID 402002, 12 p. (2013). MSC: 83C45 81T17 81T20 PDFBibTeX XMLCite \textit{J. B. Geloun}, J. Phys. A, Math. Theor. 46, No. 40, Article ID 402002, 12 p. (2013; Zbl 1277.83040) Full Text: DOI arXiv
Ben Geloun, Joseph; Rivasseau, Vincent Addendum to: A renormalizable 4-dimensional tensor field theory. (English) Zbl 1272.83027 Commun. Math. Phys. 322, No. 3, 957-965 (2013). MSC: 83C45 81T20 81T15 PDFBibTeX XMLCite \textit{J. Ben Geloun} and \textit{V. Rivasseau}, Commun. Math. Phys. 322, No. 3, 957--965 (2013; Zbl 1272.83027) 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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{J. B. Geloun} and \textit{V. Rivasseau}, Commun. Math. Phys. 318, No. 1, 69--109 (2013; Zbl 1261.83016) Full Text: DOI arXiv
Geloun, Joseph Ben Two- and four-loop \(\beta\)-functions of rank-4 renormalizable tensor field theories. (English) Zbl 1258.83033 Classical Quantum Gravity 29, No. 23, Article ID 235011, 40p. (2012). MSC: 83C47 81T17 81T20 83C45 81T15 81S40 83C27 PDFBibTeX XMLCite \textit{J. B. Geloun}, Classical Quantum Gravity 29, No. 23, Article ID 235011, 40p. (2012; Zbl 1258.83033) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \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
Ben Geloun, Joseph Ward-Takahashi identities for the colored Boulatov model. (English) Zbl 1228.81221 J. Phys. A, Math. Theor. 44, No. 41, Article ID 415402, 30 p. (2011). MSC: 81T30 83E30 83C45 81T20 81T17 PDFBibTeX XMLCite \textit{J. Ben Geloun}, J. Phys. A, Math. Theor. 44, No. 41, Article ID 415402, 30 p. (2011; Zbl 1228.81221) Full Text: DOI arXiv
Geloun, Joseph Ben; Krajewski, Thomas; Magnen, Jacques; Rivasseau, Vincent Linearized group field theory and power-counting theorems. (English) Zbl 1195.81093 Classical Quantum Gravity 27, No. 15, Article ID 155012, 14 p. (2010). MSC: 81T20 83C45 81T15 05C10 05C15 PDFBibTeX XMLCite \textit{J. B. Geloun} et al., Classical Quantum Gravity 27, No. 15, Article ID 155012, 14 p. (2010; Zbl 1195.81093) Full Text: DOI arXiv
Ben Geloun, Joseph; Rivasseau, Vincent Color Grosse-Wulkenhaar models: one-loop \(\beta \) -functions. (English) Zbl 1189.81155 Eur. Phys. J. C, Part. Fields 58, No. 1, 115-122 (2008). MSC: 81T17 81T15 81T18 81T75 PDFBibTeX XMLCite \textit{J. Ben Geloun} and \textit{V. Rivasseau}, Eur. Phys. J. C, Part. Fields 58, No. 1, 115--122 (2008; Zbl 1189.81155) Full Text: DOI arXiv