On the large N limit of Schwinger-Dyson equations of a rank-3 tensor field theory

被引：9

作者：

Pascalie, P. ^{[1
,2
]}

Perez-Sanchez, C. I. ^{[2
,3
]}

Tanasa, A. ^{[1
,4
,5
]}

Wulkenhaar, R. ^{[2
]}

机构：

[1] Univ Bordeaux, LaBRI, UMP 5800, F-33400 Talence, France

[2] Westfalischen Wilhelms Univ, Math Inst, Einsteinstr 62, D-48149 Munster, Germany

[3] Univ Warsaw, Fac Phys, Ul Pasteura 5, PL-02093 Warsaw, Poland

[4] H Hulubei Natl Inst Phys & Nucl Engn, POB MG-6, Magurele 07712S, Romania

[5] IUF, 1 Rue Descartes, F-75231 Paris 05, France

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2019年 / 60卷 / 07期

关键词：

1/N EXPANSION;

D O I：

10.1063/1.5080306

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We analyze in this paper the large N limit of the Schwinger-Dyson equations in a rank-3 tensor quantum field theory, which are derived with the help of Ward-Takahashi identities. In order to have a well-defined large N limit, appropriate scalings in powers of N for the various terms present in the action are explicitly found. A perturbative check of our results is done up to second order in the coupling constant. Published under license by AIP Publishing.

引用

页数：22

共 38 条

[21] Colored Group Field Theory
Gurau, Razvan
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2011, 304 (01) : 69 - 93
[22] Klebanov I. R., 2017, THEORETICAL ADV STUD
[23] On large N limit of symmetric traceless tensor models
Klebanov, Igor R.
Tarnopolsky, Grigory
[J]. JOURNAL OF HIGH ENERGY PHYSICS, 2017, (10):
[24] Uncolored random tensors, melon diagrams, and the Sachdev-Ye-Kitaev models
Klebanov, Igor R.
Tarnopolsky, Grigory
[J]. PHYSICAL REVIEW D, 2017, 95 (04)
[25] Exact Renormalisation Group Equations and Loop Equations for Tensor Models
Krajewski, Thomas
Toriumi, Reiko
[J]. SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2016, 12
[26] Ward identity violation for melonic T4-truncation
Lahoche, Vincent
Samary, Dine Ousmane
[J]. NUCLEAR PHYSICS B, 2019, 940 : 190 - 213
[27] Blobs and flips on gems
Lins, Sostenes
Mulazzani, Michele
[J]. JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2006, 15 (08) : 1001 - 1035
[28] Lumma J., ARXIV181100814
[29] Panzer E., ARXIV180702945
[30] Pascalie R., ARXIV190302907

← 1 2 3 4 →