Large-N limit of non-commutative gauge theories

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Using the correspondence between gauge theories and string theory in curved backgrounds, we investigate aspects of the large-N limit of non-commutative gauge theories by considering gravity solutions with B fields. We argue that the total number of physical degrees of freedom at any given scale coin...

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Autores principales: Maldacena, J.M., Russo, J.G.
Formato: JOUR
Materias:
Black holes in string theory
Brane dynamics in gauge theories
Duality in gauge field theories
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_10298479_v3_n9_pXXXV_Maldacena
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_10298479_v3_n9_pXXXV_Maldacena
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spelling todo:paper_10298479_v3_n9_pXXXV_Maldacena2023-10-03T15:57:15Z Large-N limit of non-commutative gauge theories Maldacena, J.M. Russo, J.G. Black holes in string theory Brane dynamics in gauge theories Duality in gauge field theories Using the correspondence between gauge theories and string theory in curved backgrounds, we investigate aspects of the large-N limit of non-commutative gauge theories by considering gravity solutions with B fields. We argue that the total number of physical degrees of freedom at any given scale coincides with the commutative case. We then compute a two-point correlation function involving momentum components in the directions of the B-field. In the infrared regime it reproduces the usual behavior of the commutative gauge theory (i.e. of the form k 4 log k 2 ). In the UV regime, we find that the two-point function decays exponentially with the momentum. A calculation of Wilson lines suggests that strings cannot be localized near the boundary. We also find string configurations that are localized in a finite region of the radial direction. These are worldsheet instantons. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_10298479_v3_n9_pXXXV_Maldacena
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Black holes in string theory
Brane dynamics in gauge theories
Duality in gauge field theories
spellingShingle Black holes in string theory
Brane dynamics in gauge theories
Duality in gauge field theories
Maldacena, J.M.
Russo, J.G.
Large-N limit of non-commutative gauge theories
topic_facet Black holes in string theory
Brane dynamics in gauge theories
Duality in gauge field theories
description Using the correspondence between gauge theories and string theory in curved backgrounds, we investigate aspects of the large-N limit of non-commutative gauge theories by considering gravity solutions with B fields. We argue that the total number of physical degrees of freedom at any given scale coincides with the commutative case. We then compute a two-point correlation function involving momentum components in the directions of the B-field. In the infrared regime it reproduces the usual behavior of the commutative gauge theory (i.e. of the form k 4 log k 2 ). In the UV regime, we find that the two-point function decays exponentially with the momentum. A calculation of Wilson lines suggests that strings cannot be localized near the boundary. We also find string configurations that are localized in a finite region of the radial direction. These are worldsheet instantons.
format JOUR
author Maldacena, J.M.
Russo, J.G.
author_facet Maldacena, J.M.
Russo, J.G.
author_sort Maldacena, J.M.
title Large-N limit of non-commutative gauge theories
title_short Large-N limit of non-commutative gauge theories
title_full Large-N limit of non-commutative gauge theories
title_fullStr Large-N limit of non-commutative gauge theories
title_full_unstemmed Large-N limit of non-commutative gauge theories
title_sort large-n limit of non-commutative gauge theories
url http://hdl.handle.net/20.500.12110/paper_10298479_v3_n9_pXXXV_Maldacena
work_keys_str_mv AT maldacenajm largenlimitofnoncommutativegaugetheories
AT russojg largenlimitofnoncommutativegaugetheories
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