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Title: Spectral sum rules for confining large-N theories

Abstract

We consider asymptotically-free four-dimensional large-$N$ gauge theories with massive fermionic and bosonic adjoint matter fields, compactified on squashed three-spheres, and examine their regularized large-$N$ confined-phase spectral sums. The analysis is done in the limit of vanishing ’t Hooft coupling, which is justified by taking the size of the compactification manifold to be small compared to the inverse strong scale Λ ₋1. We find our results motivate us to conjecture some universal spectral sum rules for these large $N$ gauge theories.

Authors:
 [1];  [2];  [3]
  1. Univ. of Washington, Seattle, WA (United States). Inst. for Nuclear Theory
  2. Univ. of Tokyo, Chiba (Japan); Univ. of Copenhagen (Denmark). The Niels Bohr International Academy & Discovery Center
  3. Univ. of Tokyo, Chiba (Japan); ; Institute for Advanced Study, Princeton, NJ (United States). School of Natural Sciences
Publication Date:
Research Org.:
Univ. of Washington, Seattle, WA (United States)
Sponsoring Org.:
USDOE; Japan Society for the Promotion of Science (JSPS); National Science Foundation (NSF)
OSTI Identifier:
1326998
Grant/Contract Number:
FG02-00ER41132; PHYS-1066293; 15K17634
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2016; Journal Issue: 6; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Confinement; 1/N Expansion

Citation Formats

Cherman, Aleksey, McGady, David A., and Yamazaki, Masahito. Spectral sum rules for confining large-N theories. United States: N. p., 2016. Web. doi:10.1007/JHEP06(2016)095.
Cherman, Aleksey, McGady, David A., & Yamazaki, Masahito. Spectral sum rules for confining large-N theories. United States. doi:10.1007/JHEP06(2016)095.
Cherman, Aleksey, McGady, David A., and Yamazaki, Masahito. 2016. "Spectral sum rules for confining large-N theories". United States. doi:10.1007/JHEP06(2016)095. https://www.osti.gov/servlets/purl/1326998.
@article{osti_1326998,
title = {Spectral sum rules for confining large-N theories},
author = {Cherman, Aleksey and McGady, David A. and Yamazaki, Masahito},
abstractNote = {We consider asymptotically-free four-dimensional large-$N$ gauge theories with massive fermionic and bosonic adjoint matter fields, compactified on squashed three-spheres, and examine their regularized large-$N$ confined-phase spectral sums. The analysis is done in the limit of vanishing ’t Hooft coupling, which is justified by taking the size of the compactification manifold to be small compared to the inverse strong scale Λ₋1. We find our results motivate us to conjecture some universal spectral sum rules for these large $N$ gauge theories.},
doi = {10.1007/JHEP06(2016)095},
journal = {Journal of High Energy Physics (Online)},
number = 6,
volume = 2016,
place = {United States},
year = 2016,
month = 6
}

Journal Article:
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