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
[21]   2-DIMENSIONAL QCD AS A STRING THEORY [J].
GROSS, DJ .
NUCLEAR PHYSICS B, 1993, 400 (1-3) :161-180
[22]   POSSIBLE 3RD-ORDER PHASE-TRANSITION IN THE LARGE-N LATTICE GAUGE-THEORY [J].
GROSS, DJ ;
WITTEN, E .
PHYSICAL REVIEW D, 1980, 21 (02) :446-453
[23]  
HIGUCHI S, 1995, NUCL PHYS B, V441, P405
[24]  
Marino M., 2015, Instantons and Large N: An Introduction to NonPerturbative Methods in Quantum Field Theory
[25]   Nonperturbative effects and nonperturbative definitions in matrix models and topological strings [J].
Marino, Marcos .
JOURNAL OF HIGH ENERGY PHYSICS, 2008, (12)
[26]  
Mitschi C., 2016, LECT NOTES MATH, V2153
[27]   INSTANTONS AS A BRIDGEHEAD AT N = INFINITY [J].
NEUBERGER, H .
PHYSICS LETTERS B, 1980, 94 (02) :199-202
[28]   NON-PERTURBATIVE CONTRIBUTIONS IN MODELS WITH A NON-ANALYTIC BEHAVIOR AT INFINITE N [J].
NEUBERGER, H .
NUCLEAR PHYSICS B, 1981, 179 (02) :253-282
[29]  
Okuyama K., 2017, J HIGH ENERGY PHYS, V1707
[30]   ON THE EXACT EVALUATION OF (DET UP) IN A LATTICE GAUGE-MODEL [J].
ROSSI, P .
PHYSICS LETTERS B, 1982, 117 (1-2) :72-74