An operator product expansion for polygonal null Wilson loops

We consider polygonal Wilson loops with null edges in conformal gauge theories. We derive an OPE-like expansion when several successive lines of the polygon are becoming aligned. The limit corresponds to a collinear, or multicollinear, limit and we explain the systematics of all the subleading corre...

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Главные авторы: Alday, L, Gaiotto, D, Maldacena, J, Sever, A, Vieira, P
Формат: Journal article
Язык:English
Опубликовано: 2011
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author Alday, L
Gaiotto, D
Maldacena, J
Sever, A
Vieira, P
author_facet Alday, L
Gaiotto, D
Maldacena, J
Sever, A
Vieira, P
author_sort Alday, L
collection OXFORD
description We consider polygonal Wilson loops with null edges in conformal gauge theories. We derive an OPE-like expansion when several successive lines of the polygon are becoming aligned. The limit corresponds to a collinear, or multicollinear, limit and we explain the systematics of all the subleading corrections, going beyond the leading terms that were previously considered. These subleading corrections are governed by excitations of high spin operators, or excitations of a flux tube that goes between two Wilson lines. The discussion is valid for any conformal gauge theory, for any coupling and in any dimension. For N = 4 super YangMills we check this expansion at strong coupling and at two loops at weak coupling. We also make predictions for the remainder function at higher loops. In the process, we also derived a new version for the TBA integral equations that determine the strong coupling answer and present the area as the associated Yang-Yang functional. © SISSA 2011.
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spelling oxford-uuid:f7c30037-ca01-4da1-a13d-6c20a23a4ffa2022-03-27T12:45:02ZAn operator product expansion for polygonal null Wilson loopsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:f7c30037-ca01-4da1-a13d-6c20a23a4ffaEnglishSymplectic Elements at Oxford2011Alday, LGaiotto, DMaldacena, JSever, AVieira, PWe consider polygonal Wilson loops with null edges in conformal gauge theories. We derive an OPE-like expansion when several successive lines of the polygon are becoming aligned. The limit corresponds to a collinear, or multicollinear, limit and we explain the systematics of all the subleading corrections, going beyond the leading terms that were previously considered. These subleading corrections are governed by excitations of high spin operators, or excitations of a flux tube that goes between two Wilson lines. The discussion is valid for any conformal gauge theory, for any coupling and in any dimension. For N = 4 super YangMills we check this expansion at strong coupling and at two loops at weak coupling. We also make predictions for the remainder function at higher loops. In the process, we also derived a new version for the TBA integral equations that determine the strong coupling answer and present the area as the associated Yang-Yang functional. © SISSA 2011.
spellingShingle Alday, L
Gaiotto, D
Maldacena, J
Sever, A
Vieira, P
An operator product expansion for polygonal null Wilson loops
title An operator product expansion for polygonal null Wilson loops
title_full An operator product expansion for polygonal null Wilson loops
title_fullStr An operator product expansion for polygonal null Wilson loops
title_full_unstemmed An operator product expansion for polygonal null Wilson loops
title_short An operator product expansion for polygonal null Wilson loops
title_sort operator product expansion for polygonal null wilson loops
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