Spectral sum rules for confining large-N theories

A bstract 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...

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Bibliographic Details
Published in:The journal of high energy physics 2016-06, Vol.2016 (6), p.1-25, Article 95
Main Authors: Cherman, Aleksey, McGady, David A., Yamazaki, Masahito
Format: Article
Language:English
Subjects:
1/N Expansion
Asymptotic properties
Classical and Quantum Gravitation
Confinement
Confining
Coupling
Elementary Particles
Gauge theory
High energy physics
Inverse
Manifolds
Physics
Physics and Astronomy
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Spectra
String Theory
Sum rules
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Summary:A bstract 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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP06(2016)095