The quark anti-quark potential and the cusp anomalous dimension from a TBA equation

We derive a set of integral equations of the TBA type for the generalized cusp anomalous dimension, or the quark antiquark potential on the three sphere, as a function of the angles. We do this by considering a family of local operators on a Wilson loop with charge L. In the large L limit the proble...

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Detalles Bibliográficos
Autores: Correa, Diego Hernán, Maldacena, Juan M., Sever, Amit
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2012
País:Argentina
Institución:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/75091
Acceso en línea:http://hdl.handle.net/11336/75091
Access Level:acceso abierto
Palabra clave:T HOOFT AND POLYAKOV LOOPS
ADS-CFT CORRESPONDENCE
INTEGRABLE FIELD THEORIES
SCATTERING AMPLITUDES
WILSON
https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
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oai_identifier_str oai:ri.conicet.gov.ar:11336/75091
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spelling The quark anti-quark potential and the cusp anomalous dimension from a TBA equationCorrea, Diego HernánMaldacena, Juan M.Sever, AmitT HOOFT AND POLYAKOV LOOPSADS-CFT CORRESPONDENCEINTEGRABLE FIELD THEORIESSCATTERING AMPLITUDESWILSONhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We derive a set of integral equations of the TBA type for the generalized cusp anomalous dimension, or the quark antiquark potential on the three sphere, as a function of the angles. We do this by considering a family of local operators on a Wilson loop with charge L. In the large L limit the problem can be solved in terms of a certain boundary reflection matrix. We determine this reflection matrix by using the symmetries and the boundary crossing equation. The cusp is introduced through a relative rotation between the two boundaries. Then the TBA trick of exchanging space and time leads to an exact equation for all values of L. The L = 0 case corresponds to the cusped Wilson loop with no operators inserted. We then derive a slightly simplified integral equation which describes the small angle limit. We solve this equation up to three loops in perturbation theory and match the results that were obtained with more direct approaches. © 2012 SISSA.Fil: Correa, Diego Hernán. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; ArgentinaFil: Maldacena, Juan M.. Institute For Advanced Studies; Estados UnidosFil: Sever, Amit. Institute For Advanced Studies; Estados UnidosSpringer2012-08info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/75091Correa, Diego Hernán; Maldacena, Juan M.; Sever, Amit; The quark anti-quark potential and the cusp anomalous dimension from a TBA equation; Springer; Journal of High Energy Physics; 8; 8-2012; 1-551126-6708CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1007/JHEP08(2012)134info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2FJHEP08%282012%29134info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2024-05-08T14:02:54Zoai:ri.conicet.gov.ar:11336/75091instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982024-05-08 14:02:54.448CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv The quark anti-quark potential and the cusp anomalous dimension from a TBA equation
title The quark anti-quark potential and the cusp anomalous dimension from a TBA equation
spellingShingle The quark anti-quark potential and the cusp anomalous dimension from a TBA equation
Correa, Diego Hernán
T HOOFT AND POLYAKOV LOOPS
ADS-CFT CORRESPONDENCE
INTEGRABLE FIELD THEORIES
SCATTERING AMPLITUDES
WILSON
https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
title_short The quark anti-quark potential and the cusp anomalous dimension from a TBA equation
title_full The quark anti-quark potential and the cusp anomalous dimension from a TBA equation
title_fullStr The quark anti-quark potential and the cusp anomalous dimension from a TBA equation
title_full_unstemmed The quark anti-quark potential and the cusp anomalous dimension from a TBA equation
title_sort The quark anti-quark potential and the cusp anomalous dimension from a TBA equation
dc.creator.none.fl_str_mv Correa, Diego Hernán
Maldacena, Juan M.
Sever, Amit
author Correa, Diego Hernán
author_facet Correa, Diego Hernán
Maldacena, Juan M.
Sever, Amit
author_role author
author2 Maldacena, Juan M.
Sever, Amit
author2_role author
author
dc.subject.none.fl_str_mv T HOOFT AND POLYAKOV LOOPS
ADS-CFT CORRESPONDENCE
INTEGRABLE FIELD THEORIES
SCATTERING AMPLITUDES
WILSON
https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
topic T HOOFT AND POLYAKOV LOOPS
ADS-CFT CORRESPONDENCE
INTEGRABLE FIELD THEORIES
SCATTERING AMPLITUDES
WILSON
https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
description We derive a set of integral equations of the TBA type for the generalized cusp anomalous dimension, or the quark antiquark potential on the three sphere, as a function of the angles. We do this by considering a family of local operators on a Wilson loop with charge L. In the large L limit the problem can be solved in terms of a certain boundary reflection matrix. We determine this reflection matrix by using the symmetries and the boundary crossing equation. The cusp is introduced through a relative rotation between the two boundaries. Then the TBA trick of exchanging space and time leads to an exact equation for all values of L. The L = 0 case corresponds to the cusped Wilson loop with no operators inserted. We then derive a slightly simplified integral equation which describes the small angle limit. We solve this equation up to three loops in perturbation theory and match the results that were obtained with more direct approaches. © 2012 SISSA.
publishDate 2012
dc.date.none.fl_str_mv 2012-08
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/75091
Correa, Diego Hernán; Maldacena, Juan M.; Sever, Amit; The quark anti-quark potential and the cusp anomalous dimension from a TBA equation; Springer; Journal of High Energy Physics; 8; 8-2012; 1-55
1126-6708
CONICET Digital
CONICET
url http://hdl.handle.net/11336/75091
identifier_str_mv Correa, Diego Hernán; Maldacena, Juan M.; Sever, Amit; The quark anti-quark potential and the cusp anomalous dimension from a TBA equation; Springer; Journal of High Energy Physics; 8; 8-2012; 1-55
1126-6708
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1007/JHEP08(2012)134
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2FJHEP08%282012%29134
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1799195770279165952
score 15,81155

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