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

Ahmed, Anees; Dunne, Gerald V.

doi:10.1016/j.physletb.2018.08.072

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

Abstract

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 N in the 't Hooft limit, as does the running coupling.

Authors:

Ahmed, Anees;

Publication Date:: Mon Oct 01 00:00:00 EDT 2018

Research Org.:: Univ. of Connecticut, Storrs, CT (United States)

Sponsoring Org.:: USDOE Office of Science (SC)

OSTI Identifier:: 1468371

Alternate Identifier(s):: OSTI ID: 1611396

Grant/Contract Number:: SC0010339

Resource Type:: Published Article

Journal Name:: Physics Letters. B

Additional Journal Information:: Journal Name: Physics Letters. B Journal Volume: 785 Journal Issue: C; Journal ID: ISSN 0370-2693

Publisher:: Elsevier

Country of Publication:: Netherlands

Language:: English

Subject:: 79 ASTRONOMY AND ASTROPHYSICS; Astronomy & Astrophysics; Physics

Citation Formats


                    Ahmed, Anees, and Dunne, Gerald V. Non-perturbative large N trans-series for the Gross–Witten–Wadia beta function.  Netherlands: N. p., 2018. 
Web.  doi:10.1016/j.physletb.2018.08.072.

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                    Ahmed, Anees, & Dunne, Gerald V. Non-perturbative large N trans-series for the Gross–Witten–Wadia beta function.  Netherlands.  https://doi.org/10.1016/j.physletb.2018.08.072

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                    Ahmed, Anees, and Dunne, Gerald V. Mon .  
"Non-perturbative large N trans-series for the Gross–Witten–Wadia beta function".  Netherlands.  https://doi.org/10.1016/j.physletb.2018.08.072.

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@article{osti_1468371,

  title        = {Non-perturbative large N trans-series for the Gross–Witten–Wadia beta function},

  author       = {Ahmed, Anees and Dunne, Gerald V.},

  abstractNote = {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 N in the 't Hooft limit, as does the running coupling.},

  doi          = {10.1016/j.physletb.2018.08.072},

  journal      = {Physics Letters. B},

  number       = C,

  volume       = 785,

  place        = {Netherlands},

  year         = {Mon Oct 01 00:00:00 EDT 2018},

  month        = {Mon Oct 01 00:00:00 EDT 2018}

}

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

Abstract

Citation Formats

Large N expansion of Wilson loops in the Gross–Witten–Wadia matrix model journal, December 2017

Large N phase transition in continuum QCD2 journal, December 1993

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Instanton induced large N phase transitions in two- and four-dimensional QCD journal, October 1994

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Complex Path Integrals and Saddles in Two-Dimensional Gauge Theory journal, March 2016

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Some properties of large-N two-dimensional Yang-Mills theory journal, March 1995

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Complex saddle points in the Gross-Witten-Wadia matrix model journal, November 2016

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Two-dimensional QCD is a string theory journal, July 1993

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2D gravity and random matrices journal, March 1995

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Approaching the large-N limit: A renormalization group approach to large-N field theories journal, December 1984

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Large N expansion of Wilson loops in the Gross–Witten–Wadia matrix model
journal, December 2017

Large N phase transition in continuum QCD2
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Renormalization group approach to matrix models
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Phases of the large-N matrix model and non-perturbative effects in 2D gravity
journal, January 1991

On the exact evaluation of 〈det Up〉 in a lattice gauge model
journal, November 1982

Two-dimensional QCD as a string theory
journal, July 1993

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journal, January 1995

Possible third-order phase transition in the large- $N$ lattice gauge theory
journal, January 1980

Instanton induced large N phase transitions in two- and four-dimensional QCD
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The large-N expansion of unitary-matrix models
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Complex Path Integrals and Saddles in Two-Dimensional Gauge Theory
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New Nonperturbative Methods in Quantum Field Theory: From Large- N Orbifold Equivalence to Bions and Resurgence
journal, October 2016

Some properties of large-N two-dimensional Yang-Mills theory
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Instantons as a bridgehead at N = ∞
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Complex saddle points in the Gross-Witten-Wadia matrix model
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Non-perturbative contributions in models with a non-analytic behavior at infinite N
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Two-dimensional QCD is a string theory
journal, July 1993

Loop Equations and Non-Perturbative Effects in Two-Dimensional Quantum Gravity
journal, May 1990

2D gravity and random matrices
journal, March 1995

Nonlinear renormalization group equation for matrix models
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On spin and matrix models in the complex plane
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Level spacing distributions and the Bessel kernel
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