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...

Descripción completa

Guardado en:
Detalles Bibliográficos
Publicado: 2015
Materias:
Scattering Amplitudes
Wilson
’t Hooft and Polyakov loops
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2015_n2_p_Bianchi
http://hdl.handle.net/20.500.12110/paper_11266708_v2015_n2_p_Bianchi
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_11266708_v2015_n2_p_Bianchi
record_format dspace
spelling paper:paper_11266708_v2015_n2_p_Bianchi2023-06-08T16:08:39Z Dilogarithm ladders from Wilson loops Scattering Amplitudes Wilson ’t Hooft and Polyakov 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 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. © 2015, The Author(s). 2015 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2015_n2_p_Bianchi http://hdl.handle.net/20.500.12110/paper_11266708_v2015_n2_p_Bianchi
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Scattering Amplitudes
Wilson
’t Hooft and Polyakov loops
spellingShingle Scattering Amplitudes
Wilson
’t Hooft and Polyakov loops
Dilogarithm ladders from Wilson loops
topic_facet 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. © 2015, The Author(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 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2015_n2_p_Bianchi
http://hdl.handle.net/20.500.12110/paper_11266708_v2015_n2_p_Bianchi
_version_ 1768545240383225856

Ejemplares similares