Artículo
The 1/2 BPS Wilson loop in ABJ(M) at two loops: The details
Fecha de publicación:
10/2013
Editorial:
Springer
Revista:
Journal of High Energy Physics
ISSN:
1126-6708
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
We compute the expectation value of the 1/2 BPS circular Wilson loop operator in ABJ(M) theory at two loops in perturbation theory. Our result turns out to be in exact agreement with the weak coupling limit of the prediction coming from localization, including finite N contributions associated to non-planar diagrams. It also confirms the identification of the correct framing factor that connects framing-zero and framingoneexpressions, previously proposed. The evaluation of the 1/2 BPS operator is made technically difficult in comparison with other observables of ABJ(M) theory by the appearance of integrals involving the coupling between fermions and gauge fields, which are absent for instance in the 1/6 BPS case. We describe in detail how to analytically solve these integrals in dimensional regularization with dimensional reduction (DRED). By suitably performing the physical limit to three dimensions we clarify the role played by short distance divergences on the final result and the mechanism of their cancellation.
Palabras clave:
CHERN-SIMONS THEORIES
,
MATRIX MODELS
,
WILSON 'T HOOFT AND POLYAKOV LOOPS
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Colecciones
Articulos(OCA CIUDAD UNIVERSITARIA)
Articulos de OFICINA DE COORDINACION ADMINISTRATIVA CIUDAD UNIVERSITARIA
Articulos de OFICINA DE COORDINACION ADMINISTRATIVA CIUDAD UNIVERSITARIA
Citación
Bianchi, Marco Andrés; Giribet, Gaston Enrique; Leoni Olivera, Matías; Penati, Silvia; The 1/2 BPS Wilson loop in ABJ(M) at two loops: The details; Springer; Journal of High Energy Physics; 2013; 10; 10-2013; 1-54
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