Quadratic effective action for QED in D=2,3 dimensions

Detalhes bibliográficos
Autor(a) principal: Dalmazi, D. [UNESP]
Data de Publicação: 2000
Outros Autores: Dutra, Alvaro de Souza [UNESP], Hott, Marcelo [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1103/PhysRevD.61.125018
http://hdl.handle.net/11449/66181
Resumo: We calculate the effective action for quantum electrodynamics (QED) in D=2,3 dimensions at the quadratic approximation in the gauge fields. We analyze the analytic structure of the corresponding nonlocal boson propagators nonperturbatively in k/m. In two dimensions for any nonzero fermion mass, we end up with one massless pole for the gauge boson. We also calculate in D=2 the effective potential between two static charges separated by a distance L and find it to be a linearly increasing function of L in agreement with the bosonized theory (massive sine-Gordon model). In three dimensions we find nonperturbatively in k/m one massive pole in the effective bosonic action leading to screening. Fitting the numerical results we derive a simple expression for the functional dependence of the boson mass upon the dimensionless parameter e2/m. ©2000 The American Physical Society.
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spelling Quadratic effective action for QED in D=2,3 dimensionsWe calculate the effective action for quantum electrodynamics (QED) in D=2,3 dimensions at the quadratic approximation in the gauge fields. We analyze the analytic structure of the corresponding nonlocal boson propagators nonperturbatively in k/m. In two dimensions for any nonzero fermion mass, we end up with one massless pole for the gauge boson. We also calculate in D=2 the effective potential between two static charges separated by a distance L and find it to be a linearly increasing function of L in agreement with the bosonized theory (massive sine-Gordon model). In three dimensions we find nonperturbatively in k/m one massive pole in the effective bosonic action leading to screening. Fitting the numerical results we derive a simple expression for the functional dependence of the boson mass upon the dimensionless parameter e2/m. ©2000 The American Physical Society.Department of Physics and Astronomy SUNY, Stony Brook, NY 11794UNESP Campus de Guaratingnetá DFQ, Av. Dr. Ariberto Pereira Cunha, 333, São PauloUNESP, GuaratinguetáUNESP Campus de Guaratingnetá DFQ, Av. Dr. Ariberto Pereira Cunha, 333, São PauloUNESP, GuaratinguetáSUNYUniversidade Estadual Paulista (Unesp)Dalmazi, D. [UNESP]Dutra, Alvaro de Souza [UNESP]Hott, Marcelo [UNESP]2014-05-27T11:19:55Z2014-05-27T11:19:55Z2000-06-15info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article1-4application/pdfhttp://dx.doi.org/10.1103/PhysRevD.61.125018Physical Review D - Particles, Fields, Gravitation and Cosmology, v. 61, n. 12, p. 1-4, 2000.0556-2821http://hdl.handle.net/11449/6618110.1103/PhysRevD.61.125018WOS:0000876781000662-s2.0-171443695822-s2.0-17144369582.pdf82793938764156086314084638411003Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review D: Particles, Fields, Gravitation and Cosmologyinfo:eu-repo/semantics/openAccess2024-07-01T20:52:27Zoai:repositorio.unesp.br:11449/66181Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T19:59:09.607499Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Quadratic effective action for QED in D=2,3 dimensions
title Quadratic effective action for QED in D=2,3 dimensions
spellingShingle Quadratic effective action for QED in D=2,3 dimensions
Dalmazi, D. [UNESP]
title_short Quadratic effective action for QED in D=2,3 dimensions
title_full Quadratic effective action for QED in D=2,3 dimensions
title_fullStr Quadratic effective action for QED in D=2,3 dimensions
title_full_unstemmed Quadratic effective action for QED in D=2,3 dimensions
title_sort Quadratic effective action for QED in D=2,3 dimensions
author Dalmazi, D. [UNESP]
author_facet Dalmazi, D. [UNESP]
Dutra, Alvaro de Souza [UNESP]
Hott, Marcelo [UNESP]
author_role author
author2 Dutra, Alvaro de Souza [UNESP]
Hott, Marcelo [UNESP]
author2_role author
author
dc.contributor.none.fl_str_mv SUNY
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Dalmazi, D. [UNESP]
Dutra, Alvaro de Souza [UNESP]
Hott, Marcelo [UNESP]
description We calculate the effective action for quantum electrodynamics (QED) in D=2,3 dimensions at the quadratic approximation in the gauge fields. We analyze the analytic structure of the corresponding nonlocal boson propagators nonperturbatively in k/m. In two dimensions for any nonzero fermion mass, we end up with one massless pole for the gauge boson. We also calculate in D=2 the effective potential between two static charges separated by a distance L and find it to be a linearly increasing function of L in agreement with the bosonized theory (massive sine-Gordon model). In three dimensions we find nonperturbatively in k/m one massive pole in the effective bosonic action leading to screening. Fitting the numerical results we derive a simple expression for the functional dependence of the boson mass upon the dimensionless parameter e2/m. ©2000 The American Physical Society.
publishDate 2000
dc.date.none.fl_str_mv 2000-06-15
2014-05-27T11:19:55Z
2014-05-27T11:19:55Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1103/PhysRevD.61.125018
Physical Review D - Particles, Fields, Gravitation and Cosmology, v. 61, n. 12, p. 1-4, 2000.
0556-2821
http://hdl.handle.net/11449/66181
10.1103/PhysRevD.61.125018
WOS:000087678100066
2-s2.0-17144369582
2-s2.0-17144369582.pdf
8279393876415608
6314084638411003
url http://dx.doi.org/10.1103/PhysRevD.61.125018
http://hdl.handle.net/11449/66181
identifier_str_mv Physical Review D - Particles, Fields, Gravitation and Cosmology, v. 61, n. 12, p. 1-4, 2000.
0556-2821
10.1103/PhysRevD.61.125018
WOS:000087678100066
2-s2.0-17144369582
2-s2.0-17144369582.pdf
8279393876415608
6314084638411003
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Physical Review D: Particles, Fields, Gravitation and Cosmology
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 1-4
application/pdf
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
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