Spectral sum rules for confining large-N theories

Cherman, Aleksey; McGady, David A.; Yamazaki, Masahito

doi:10.1007/JHEP06(2016)095

Title: Spectral sum rules for confining large-N theories

Journal Article · Fri Jun 17 00:00:00 EDT 2016 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP06(2016)095· OSTI ID:1326998

Cherman, Aleksey ^[1]; McGady, David A. ^[2]; Yamazaki, Masahito ^[3]

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

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.

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Research Organization:: Univ. of Washington, Seattle, WA (United States)

Sponsoring Organization:: USDOE; Japan Society for the Promotion of Science (JSPS); National Science Foundation (NSF)

Grant/Contract Number:: FG02-00ER41132; PHYS-1066293; 15K17634

OSTI ID:: 1326998

Journal Information:: Journal of High Energy Physics (Online), Vol. 2016, Issue 6; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 2 works

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