Quadratic effective action for QED in D=2,3 dimensions
Autor(a) principal: | |
---|---|
Data de Publicação: | 2000 |
Outros Autores: | , |
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. |
id |
UNSP_184f80d7d25c2fd3f786305038b60eee |
---|---|
oai_identifier_str |
oai:repositorio.unesp.br:11449/66181 |
network_acronym_str |
UNSP |
network_name_str |
Repositório Institucional da UNESP |
repository_id_str |
2946 |
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 |
|
_version_ |
1808129145778995200 |