Dilogarithm ladders from Wilson loops

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 expli...

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Detalles Bibliográficos
Autores principales: Bianchi, Marco S., Leoni Olivera, Matías
Formato: Articulo
Lenguaje:Inglés
Publicado: 2015
Materias:
Ciencias Exactas
Física
Scattering Amplitudes
Wilson
’t Hooft and Polyakov loops
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/86014
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-86014
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Exactas
Física
Scattering Amplitudes
Wilson
’t Hooft and Polyakov loops
spellingShingle Ciencias Exactas
Física
Scattering Amplitudes
Wilson
’t Hooft and Polyakov loops
Bianchi, Marco S.
Leoni Olivera, Matías
Dilogarithm ladders from Wilson loops
topic_facet Ciencias Exactas
Física
Scattering Amplitudes
Wilson
’t Hooft and Polyakov loops
description 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.
format Articulo
Articulo
author Bianchi, Marco S.
Leoni Olivera, Matías
author_facet Bianchi, Marco S.
Leoni Olivera, Matías
author_sort Bianchi, Marco S.
title Dilogarithm ladders from Wilson loops
title_short Dilogarithm ladders from Wilson loops
title_full Dilogarithm ladders from Wilson loops
title_fullStr Dilogarithm ladders from Wilson loops
title_full_unstemmed Dilogarithm ladders from Wilson loops
title_sort dilogarithm ladders from wilson loops
publishDate 2015
url http://sedici.unlp.edu.ar/handle/10915/86014
work_keys_str_mv AT bianchimarcos dilogarithmladdersfromwilsonloops
AT leonioliveramatias dilogarithmladdersfromwilsonloops
bdutipo_str Repositorios
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