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.
- 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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