Polyakov loop of antisymmetric representations as a quantum impurity model

Journal Article · Tue Mar 15 00:00:00 EDT 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.83.066006· OSTI ID:21537598

Mueck, Wolfgang ^[1]

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1. Dipartimento di Scienze Fisiche, Universita degli Studi di Napoli, 'Federico II', Via Cintia, 80126 Napoli (Italy) and INFN, Sezione di Napoli, Via Cintia, 80126 Napoli (Italy)

The Polyakov loop of an operator in the antisymmetric representation in N=4 supersymmetric Yang-Mills theory on spacial R{sup 3} is calculated, to leading order in 1/N and at large 't Hooft coupling, by solving the saddle point equations of the corresponding quantum impurity model. Agreement is found with previous results from the supergravity dual, which is given by a D5-brane in an asymptotically AdS{sub 5}xS{sup 5} black brane background. It is shown that the azimuth angle, at which the dual D5-brane wraps the S{sup 5}, is related to the spectral asymmetry angle in the spectral density associated with the Green's function of the impurity fermions. Much of the calculation also applies to the Polyakov loop on spacial S{sup 3} or H{sup 3}.

• OSTI ID: 21537598
• Journal Information: Physical Review. D, Particles Fields, Vol. 83, Issue 6; Other Information: DOI: 10.1103/PhysRevD.83.066006; (c) 2011 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANTI DE SITTER SPACE
ASYMMETRY
BRANES
COMPUTERIZED SIMULATION
COUPLING
FERMIONS
GREEN FUNCTION
IMPURITIES
SPECTRAL DENSITY
SUPERGRAVITY
SUPERSYMMETRY
YANG-MILLS THEORY
FIELD THEORIES
FUNCTIONS
MATHEMATICAL SPACE
SIMULATION
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SPECTRAL FUNCTIONS
SYMMETRY
UNIFIED-FIELD THEORIES