Spectral sum rules for confining large-N theories

Aleksey Cherman; David A. McGady; Masahito Yamazaki

doi:10.1007/JHEP06(2016)095

Spectral sum rules for confining large-N theories

Aleksey Cherman, David A. McGady, Masahito Yamazaki

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

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. Our results motivate us to conjecture some universal spectral sum rules for these large N gauge theories.

Original language	English (US)
Article number	95
Journal	Journal of High Energy Physics
Volume	2016
Issue number	6
DOIs	https://doi.org/10.1007/JHEP06(2016)095
State	Published - Jun 1 2016
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2016, The Author(s).

Keywords

1/N Expansion
Confinement

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10.1007/JHEP06(2016)095

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title = "Spectral sum rules for confining large-N theories",

abstract = "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 {\textquoteright}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. Our results motivate us to conjecture some universal spectral sum rules for these large N gauge theories.",

keywords = "1/N Expansion, Confinement",

author = "Aleksey Cherman and McGady, {David A.} and Masahito Yamazaki",

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doi = "10.1007/JHEP06(2016)095",

language = "English (US)",

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T1 - Spectral sum rules for confining large-N theories

AU - Cherman, Aleksey

AU - McGady, David A.

AU - Yamazaki, Masahito

PY - 2016/6/1

Y1 - 2016/6/1

N2 - 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. Our results motivate us to conjecture some universal spectral sum rules for these large N gauge theories.

AB - 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. Our results motivate us to conjecture some universal spectral sum rules for these large N gauge theories.

KW - 1/N Expansion

KW - Confinement

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U2 - 10.1007/JHEP06(2016)095

DO - 10.1007/JHEP06(2016)095

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VL - 2016

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 6

M1 - 95

ER -

Spectral sum rules for confining large-N theories

Abstract

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