The 1 / N Expansion of the Symmetric Traceless and the Antisymmetric Tensor Models in Rank Three

被引：0

作者：

Dario Benedetti

Sylvain Carrozza

Razvan Gurau

Maciej Kolanowski

机构：

[1] Univ.Paris-Sud,Laboratoire de Physique Théorique, CNRS

[2] Université Paris-Saclay,Centre de Physique Théorique, CNRS, École Polytechnique

[3] Perimeter Institute for Theoretical Physics,Faculty of Physics

[4] Université Paris-Saclay,undefined

[5] University of Warsaw,undefined

来源：

Communications in Mathematical Physics | 2019年 / 371卷

关键词：

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We prove rigorously that the symmetric traceless and the antisymmetric tensor models in rank three with tetrahedral interaction admit a 1 / N expansion, and that at leading order they are dominated by melon diagrams. This proves the recent conjecture of Klebanov and Tarnopolsky (JHEP 10:037, 2017. arXiv:1706.00839), which they checked numerically up to 8th order in the coupling constant.

引用

页码：55 / 97

页数：42

共 50 条

[1] The 1/N Expansion of the Symmetric Traceless and the Antisymmetric Tensor Models in Rank Three
Benedetti, Dario
Carrozza, Sylvain
Gurau, Razvan
Kolanowski, Maciej
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2019, 371 (01) : 55 - 97
[2] On large N limit of symmetric traceless tensor models
Igor R. Klebanov
Grigory Tarnopolsky
Journal of High Energy Physics, 2017
[3] On large N limit of symmetric traceless tensor models
Klebanov, Igor R.
Tarnopolsky, Grigory
JOURNAL OF HIGH ENERGY PHYSICS, 2017, (10):
[4] The 1/N Expansion of Tensor Models with Two Symmetric Tensors
Gurau, Razvan
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2018, 360 (03) : 985 - 1007
[5] The 1/N Expansion of Tensor Models with Two Symmetric Tensors
Razvan Gurau
Communications in Mathematical Physics, 2018, 360 : 985 - 1007
[6] SU(n) symmetry breaking by rank three and rank two antisymmetric tensor scalars
Adler, Stephen L.
PHYSICS LETTERS B, 2015, 744 : 380 - 384
[7] The 1/N Expansion of Colored Tensor Models
Razvan Gurau
Annales Henri Poincaré, 2011, 12 : 829 - 847
[8] The 1/N Expansion of Colored Tensor Models
Gurau, Razvan
ANNALES HENRI POINCARE, 2011, 12 (05): : 829 - 847
[9] A REVIEW OF THE 1/N EXPANSION IN RANDOM TENSOR MODELS
Gurau, R.
XVIITH INTERNATIONAL CONGRESS ON MATHEMATICAL PHYSICS, 2014, : 651 - 662
[10] The 1/N Expansion of Tensor Models Beyond Perturbation Theory
Gurau, Razvan
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2014, 330 (03) : 973 - 1019

← 1 2 3 4 5 →