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:
- Publication Date:
- 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.
Ahmed, Anees, & Dunne, Gerald V. Non-perturbative large N trans-series for the Gross–Witten–Wadia beta function. Netherlands. doi:https://doi.org/10.1016/j.physletb.2018.08.072
Ahmed, Anees, and Dunne, Gerald V. Mon .
"Non-perturbative large N trans-series for the Gross–Witten–Wadia beta function". Netherlands. doi:https://doi.org/10.1016/j.physletb.2018.08.072.
@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 = {2018},
month = {10}
}
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DOI: https://doi.org/10.1016/j.physletb.2018.08.072
DOI: https://doi.org/10.1016/j.physletb.2018.08.072
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Works referenced in this record:
Large N expansion of Wilson loops in the Gross–Witten–Wadia matrix model
journal, December 2017
- Alfinito, Eleonora; Beccaria, Matteo
- Journal of Physics A: Mathematical and Theoretical, Vol. 51, Issue 5
Large N phase transition in continuum QCD2
journal, December 1993
- Douglas, Michael R.; Kazakov, Vladimir A.
- Physics Letters B, Vol. 319, Issue 1-3
Renormalization group approach to matrix models
journal, August 1992
- Brézin, Edouard; Zinn-Justin, Jean
- Physics Letters B, Vol. 288, Issue 1-2
Phases of the large-N matrix model and non-perturbative effects in 2D gravity
journal, January 1991
- David, François
- Nuclear Physics B, Vol. 348, Issue 3
On the exact evaluation of 〈det Up〉 in a lattice gauge model
journal, November 1982
- Rossi, Paolo
- Physics Letters B, Vol. 117, Issue 1-2
Two-dimensional QCD as a string theory
journal, July 1993
- Gross, David J.
- Nuclear Physics B, Vol. 400, Issue 1-3
Renormalization group flow in one- and two-matrix models
journal, January 1995
- Higuchi, Saburo; Itoi, Chigak; Nishigaki, Shinsuke
- Nuclear Physics B, Vol. 434, Issue 1-2
Possible third-order phase transition in the large- lattice gauge theory
journal, January 1980
- Gross, David J.; Witten, Edward
- Physical Review D, Vol. 21, Issue 2
Instanton induced large N phase transitions in two- and four-dimensional QCD
journal, October 1994
- Gross, David J.; Matytsin, Andrei
- Nuclear Physics B, Vol. 429, Issue 1
The large-N expansion of unitary-matrix models
journal, August 1998
- Rossi, Paolo; Campostrini, Massimo; Vicari, Ettore
- Physics Reports, Vol. 302, Issue 4
Fredholm determinants, differential equations and matrix models
journal, June 1994
- Tracy, Craig A.; Widom, Harold
- Communications in Mathematical Physics, Vol. 163, Issue 1
Complex Path Integrals and Saddles in Two-Dimensional Gauge Theory
journal, March 2016
- Buividovich, P. V.; Dunne, Gerald V.; Valgushev, S. N.
- Physical Review Letters, Vol. 116, Issue 13
New Nonperturbative Methods in Quantum Field Theory: From Large- N Orbifold Equivalence to Bions and Resurgence
journal, October 2016
- Dunne, Gerald V.; Ünsal, Mithat
- Annual Review of Nuclear and Particle Science, Vol. 66, Issue 1
Some properties of large-N two-dimensional Yang-Mills theory
journal, March 1995
- Gross, David J.; Matytsin, Andrei
- Nuclear Physics B, Vol. 437, Issue 3
Instantons as a bridgehead at N = ∞
journal, July 1980
- Neuberger, H.
- Physics Letters B, Vol. 94, Issue 2
Complex saddle points in the Gross-Witten-Wadia matrix model
journal, November 2016
- Álvarez, Gabriel; Alonso, Luis Martínez; Medina, Elena
- Physical Review D, Vol. 94, Issue 10
Non-perturbative contributions in models with a non-analytic behavior at infinite N
journal, March 1981
- Neuberger, H.
- Nuclear Physics B, Vol. 179, Issue 2
Two-dimensional QCD is a string theory
journal, July 1993
- Gross, David J.; Taylor, Washington
- Nuclear Physics B, Vol. 400, Issue 1-3
Loop Equations and Non-Perturbative Effects in Two-Dimensional Quantum Gravity
journal, May 1990
- David, F.
- Modern Physics Letters A, Vol. 05, Issue 13
2D gravity and random matrices
journal, March 1995
- Francesco, P. Di; Ginsparg, P.; Zinn-Justin, J.
- Physics Reports, Vol. 254, Issue 1-2
Nonlinear renormalization group equation for matrix models
journal, November 1993
- Higuchi, Saburo; Itoi, Chigak; Nishigaki, Shinsuke
- Physics Letters B, Vol. 318, Issue 1
On spin and matrix models in the complex plane
journal, December 1993
- Damgaard, Poul H.; Heller, Urs M.
- Nuclear Physics B, Vol. 410, Issue 3
Approaching the large-N limit: A renormalization group approach to large-N field theories
journal, December 1984
- Carlson, J. W.
- Nuclear Physics B, Vol. 248, Issue 3
Level spacing distributions and the Bessel kernel
journal, March 1994
- Tracy, Craig A.; Widom, Harold
- Communications in Mathematical Physics, Vol. 161, Issue 2