Non-perturbative large N trans-series for the Gross-Witten-Wadia beta function

被引:7
作者
Ahmed, Anees [1 ]
Dunne, Gerald, V [1 ]
机构
[1] Univ Connecticut, Dept Phys, Storrs, CT 06269 USA
关键词
RENORMALIZATION-GROUP APPROACH; 2-DIMENSIONAL QCD; PHASE-TRANSITION;
D O I
10.1016/j.physletb.2018.08.072
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We describe the non-perturbative trans-series, at both weak-and strong-coupling, of the large N approximation to the beta function of the Gross-Witten-Wadia unitary matrix model. This system models a running coupling, and the structure of the trans-series changes as one crosses the large N phase transition. The perturbative beta function acquires a non-perturbative trans-series completion at large but finite Nin the 't Hooft limit, as does the running coupling. (C) 2018 The Authors. Published by Elsevier B.V.
引用
收藏
页码:342 / 346
页数:5
相关论文
共 34 条
[1]   Transmutation of a trans-series: the Gross-Witten-Wadia phase transition [J].
Ahmed, Anees ;
Dunne, Gerald V. .
JOURNAL OF HIGH ENERGY PHYSICS, 2017, (11)
[2]   Large N expansion of Wilson loops in the Gross-Witten-Wadia matrix model [J].
Alfinito, Eleonora ;
Beccaria, Matteo .
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2018, 51 (05)
[3]   Complex saddle points in the Gross-Witten-Wadia matrix model [J].
Alvarez, Gabriel ;
Martinez Alonso, Luis ;
Medina, Elena .
PHYSICAL REVIEW D, 2016, 94 (10)
[4]  
Aniceto I., ARXIV180210441
[5]  
[Anonymous], 2011, The oxford handbook of random matrix theory
[6]  
[Anonymous], 2010, LOG GASES RANDOM MAT
[7]   RENORMALIZATION-GROUP APPROACH TO MATRIX MODELS [J].
BREZIN, E ;
ZINNJUSTIN, J .
PHYSICS LETTERS B, 1992, 288 (1-2) :54-58
[8]  
Brezin E., 1993, Large N Expansion in Quantum Field Theory and Statistical Physics, The: From Spin Systems to 2-Dimensional Gravity
[9]   Complex Path Integrals and Saddles in Two-Dimensional Gauge Theory [J].
Buividovich, P. V. ;
Dunne, Gerald V. ;
Valgushev, S. N. .
PHYSICAL REVIEW LETTERS, 2016, 116 (13)
[10]   APPROACHING THE LARGE-N LIMIT - A RENORMALIZATION-GROUP APPROACH TO LARGE-N FIELD-THEORIES [J].
CARLSON, JW .
NUCLEAR PHYSICS B, 1984, 248 (03) :536-550