Spectral sum rules for confining largeN theories
Abstract
We consider asymptoticallyfree fourdimensional large$N$ gauge theories with massive fermionic and bosonic adjoint matter fields, compactified on squashed threespheres, and examine their regularized large$N$ confinedphase 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:

 Univ. of Washington, Seattle, WA (United States). Inst. for Nuclear Theory
 Univ. of Tokyo, Chiba (Japan); Univ. of Copenhagen (Denmark). The Niels Bohr International Academy & Discovery Center
 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:
 FG0200ER41132; PHYS1066293; 15K17634
 Resource Type:
 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 10298479
 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 largeN 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 largeN theories. United States. doi:10.1007/JHEP06(2016)095.
Cherman, Aleksey, McGady, David A., and Yamazaki, Masahito. Fri .
"Spectral sum rules for confining largeN 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 largeN theories},
author = {Cherman, Aleksey and McGady, David A. and Yamazaki, Masahito},
abstractNote = {We consider asymptoticallyfree fourdimensional large$N$ gauge theories with massive fermionic and bosonic adjoint matter fields, compactified on squashed threespheres, and examine their regularized large$N$ confinedphase 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}
}
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