Holographic Ward identities for symmetry breaking in two dimensions

We investigate symmetry breaking in two-dimensional field theories which have a holographic gravity dual. Being at large N, the Coleman theorem does not hold and Goldstone bosons are expected. We consider the minimal setup to describe a conserved current and a charged operator, and we perform hologr...

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Detalles Bibliográficos
Publicado: 2017
Materias:
AdS-CFT Correspondence
Field Theories in Lower Dimensions
Spontaneous Symmetry Breaking
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2017_n4_p_Argurio
http://hdl.handle.net/20.500.12110/paper_11266708_v2017_n4_p_Argurio
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_11266708_v2017_n4_p_Argurio
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spelling paper:paper_11266708_v2017_n4_p_Argurio2023-06-08T16:08:52Z Holographic Ward identities for symmetry breaking in two dimensions AdS-CFT Correspondence Field Theories in Lower Dimensions Spontaneous Symmetry Breaking We investigate symmetry breaking in two-dimensional field theories which have a holographic gravity dual. Being at large N, the Coleman theorem does not hold and Goldstone bosons are expected. We consider the minimal setup to describe a conserved current and a charged operator, and we perform holographic renormalization in order to find the correct Ward identities describing symmetry breaking. This involves some subtleties related to the different boundary conditions that a vector can have in the three-dimensional bulk. We establish which is the correct prescription that yields, after renormalization, the same Ward identities as in higher dimensions. © 2017, The Author(s). 2017 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2017_n4_p_Argurio http://hdl.handle.net/20.500.12110/paper_11266708_v2017_n4_p_Argurio
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic AdS-CFT Correspondence
Field Theories in Lower Dimensions
Spontaneous Symmetry Breaking
spellingShingle AdS-CFT Correspondence
Field Theories in Lower Dimensions
Spontaneous Symmetry Breaking
Holographic Ward identities for symmetry breaking in two dimensions
topic_facet AdS-CFT Correspondence
Field Theories in Lower Dimensions
Spontaneous Symmetry Breaking
description We investigate symmetry breaking in two-dimensional field theories which have a holographic gravity dual. Being at large N, the Coleman theorem does not hold and Goldstone bosons are expected. We consider the minimal setup to describe a conserved current and a charged operator, and we perform holographic renormalization in order to find the correct Ward identities describing symmetry breaking. This involves some subtleties related to the different boundary conditions that a vector can have in the three-dimensional bulk. We establish which is the correct prescription that yields, after renormalization, the same Ward identities as in higher dimensions. © 2017, The Author(s).
title Holographic Ward identities for symmetry breaking in two dimensions
title_short Holographic Ward identities for symmetry breaking in two dimensions
title_full Holographic Ward identities for symmetry breaking in two dimensions
title_fullStr Holographic Ward identities for symmetry breaking in two dimensions
title_full_unstemmed Holographic Ward identities for symmetry breaking in two dimensions
title_sort holographic ward identities for symmetry breaking in two dimensions
publishDate 2017
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2017_n4_p_Argurio
http://hdl.handle.net/20.500.12110/paper_11266708_v2017_n4_p_Argurio
_version_ 1768542425282772992

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