Antisymmetric Wilson loops in N= 4 SYM

from exact results to non-planar corrections

Anthonny F. Canazas Garay, Alberto Faraggi, Wolfgang Mück

Resultado de la investigación: Article

2 Citas (Scopus)

Resumen

We consider the vacuum expectation values of 1/2-BPS circular Wilson loops in N= 4 super Yang-Mills theory in the totally antisymmetric representation of the gauge group U(N) or SU(N). Localization and matrix model techniques provide exact, but rather formal, expressions for these expectation values. In this paper we show how to extract the leading and sub-leading behavior in a 1/N expansion with fixed ’t Hooft coupling starting from these exact results. This is done by exploiting the relation between the generating function of antisymmetric Wilson loops and a finite-dimensional quantum system known as the truncated harmonic oscillator. Sum and integral representations for the 1/N terms are provided.

Idioma originalEnglish
Número de artículo149
PublicaciónJournal of High Energy Physics
Volumen2018
N.º8
DOI
EstadoPublished - 1 ago 2018

Huella dactilar

Yang-Mills theory
harmonic oscillators
vacuum
expansion
matrices

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Citar esto

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abstract = "We consider the vacuum expectation values of 1/2-BPS circular Wilson loops in N= 4 super Yang-Mills theory in the totally antisymmetric representation of the gauge group U(N) or SU(N). Localization and matrix model techniques provide exact, but rather formal, expressions for these expectation values. In this paper we show how to extract the leading and sub-leading behavior in a 1/N expansion with fixed ’t Hooft coupling starting from these exact results. This is done by exploiting the relation between the generating function of antisymmetric Wilson loops and a finite-dimensional quantum system known as the truncated harmonic oscillator. Sum and integral representations for the 1/N terms are provided.",
keywords = "1/N Expansion, AdS-CFT Correspondence, Matrix Models, Wilson, ’t Hooft and Polyakov loops",
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Antisymmetric Wilson loops in N= 4 SYM : from exact results to non-planar corrections. / Canazas Garay, Anthonny F.; Faraggi, Alberto; Mück, Wolfgang.

En: Journal of High Energy Physics, Vol. 2018, N.º 8, 149, 01.08.2018.

Resultado de la investigación: Article

TY - JOUR

T1 - Antisymmetric Wilson loops in N= 4 SYM

T2 - from exact results to non-planar corrections

AU - Canazas Garay, Anthonny F.

AU - Faraggi, Alberto

AU - Mück, Wolfgang

PY - 2018/8/1

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N2 - We consider the vacuum expectation values of 1/2-BPS circular Wilson loops in N= 4 super Yang-Mills theory in the totally antisymmetric representation of the gauge group U(N) or SU(N). Localization and matrix model techniques provide exact, but rather formal, expressions for these expectation values. In this paper we show how to extract the leading and sub-leading behavior in a 1/N expansion with fixed ’t Hooft coupling starting from these exact results. This is done by exploiting the relation between the generating function of antisymmetric Wilson loops and a finite-dimensional quantum system known as the truncated harmonic oscillator. Sum and integral representations for the 1/N terms are provided.

AB - We consider the vacuum expectation values of 1/2-BPS circular Wilson loops in N= 4 super Yang-Mills theory in the totally antisymmetric representation of the gauge group U(N) or SU(N). Localization and matrix model techniques provide exact, but rather formal, expressions for these expectation values. In this paper we show how to extract the leading and sub-leading behavior in a 1/N expansion with fixed ’t Hooft coupling starting from these exact results. This is done by exploiting the relation between the generating function of antisymmetric Wilson loops and a finite-dimensional quantum system known as the truncated harmonic oscillator. Sum and integral representations for the 1/N terms are provided.

KW - 1/N Expansion

KW - AdS-CFT Correspondence

KW - Matrix Models

KW - Wilson, ’t Hooft and Polyakov loops

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JO - Journal of High Energy Physics

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