Artículo
Dilogarithm ladders from Wilson loops
Fecha de publicación:
02/2015
Editorial:
Springer
Revista:
Journal of High Energy Physics
ISSN:
1029-8479
e-ISSN:
1126-6708
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
We consider a light-like Wilson loop in N = 4 SYM evaluated on a regular n-polygon contour. Sending the number of edges to infinity the polygon approximates a circle and the expectation value of the light-like WL is expected to tend to the localization result for the circular one. We show this explicitly at one loop, providing a prescription to deal with the divergences of the light-like WL and the large n limit. Taking this limit entails evaluating certain sums of dilogarithms which, for a regular polygon, evaluate to the same constant independently of n. We show that this occurs thanks to underlying dilogarithm identities, related to the so-called “polylogarithm ladders”, which appear in rather different contexts of physics and mathematics and enable us to perform the large n limit analytically.
Palabras clave:
Scattering Amplitudes
,
Wilson
,
’T Hooft And Polyakov Loops
Archivos asociados
Licencia
Identificadores
Colecciones
Articulos(IFIBA)
Articulos de INST.DE FISICA DE BUENOS AIRES
Articulos de INST.DE FISICA DE BUENOS AIRES
Articulos(IFLP)
Articulos de INST.DE FISICA LA PLATA
Articulos de INST.DE FISICA LA PLATA
Citación
Bianchi, Marco Andrés; Leoni Olivera, Matías; Dilogarithm ladders from Wilson loops; Springer; Journal of High Energy Physics; 2015; 2; 2-2015; 1-13
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