Light-front gauge propagator reexamined
Autor(a) principal: | |
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Data de Publicação: | 2003 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1016/S0375-9474(03)01575-6 http://hdl.handle.net/11449/230948 |
Resumo: | Gauge fields are special in the sense that they are invariant under gauge transformations and ipso facto they lead to problems when we try quantizing them straightforwardly. To circumvent this problem we need to specify a gauge condition to fix the gauge so that the fields that are connected by gauge invariance are not overcounted in the process of quantization. The usual way we do this in the light-front is through the introduction of a Lagrange multiplier, (n·A)2, where nμ is the external light-like vector, i.e., n2=0, and Aμ is the vector potential. This leads to the usual light-front propagator with all the ensuing characteristics such as the prominent (k·n)-1 pole which has been the subject of much research. However, it has been for long recognized that this procedure is incomplete in that there remains a residual gauge freedom still to be fixed by some ad hoc prescription, and this is normally worked out to remedy some unwieldy aspect that emerges along the way. In this work we propose a new Lagrange multiplier for the light-front gauge that leads to the correctly defined propagator with no residual gauge freedom left. This is accomplished via (n·A)(∂·A) term in the Lagrangian density. This leads to a well-defined and exact though Lorentz non-invariant propagator. © 2003 Elsevier B.V. All rights reserved. |
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Light-front gauge propagator reexaminedGauge fields are special in the sense that they are invariant under gauge transformations and ipso facto they lead to problems when we try quantizing them straightforwardly. To circumvent this problem we need to specify a gauge condition to fix the gauge so that the fields that are connected by gauge invariance are not overcounted in the process of quantization. The usual way we do this in the light-front is through the introduction of a Lagrange multiplier, (n·A)2, where nμ is the external light-like vector, i.e., n2=0, and Aμ is the vector potential. This leads to the usual light-front propagator with all the ensuing characteristics such as the prominent (k·n)-1 pole which has been the subject of much research. However, it has been for long recognized that this procedure is incomplete in that there remains a residual gauge freedom still to be fixed by some ad hoc prescription, and this is normally worked out to remedy some unwieldy aspect that emerges along the way. In this work we propose a new Lagrange multiplier for the light-front gauge that leads to the correctly defined propagator with no residual gauge freedom left. This is accomplished via (n·A)(∂·A) term in the Lagrangian density. This leads to a well-defined and exact though Lorentz non-invariant propagator. © 2003 Elsevier B.V. All rights reserved.Instituto de Fisica Teórica, 01405-900 São PauloInstituto de Fisica TeóricaSuzuki, Alfredo T.Sales, J. H.O.2022-04-29T08:42:51Z2022-04-29T08:42:51Z2003-09-22info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article139-148http://dx.doi.org/10.1016/S0375-9474(03)01575-6Nuclear Physics A, v. 725, p. 139-148.0375-9474http://hdl.handle.net/11449/23094810.1016/S0375-9474(03)01575-62-s2.0-0042074382Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengNuclear Physics Ainfo:eu-repo/semantics/openAccess2022-04-29T08:42:51Zoai:repositorio.unesp.br:11449/230948Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T14:39:47.279903Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Light-front gauge propagator reexamined |
title |
Light-front gauge propagator reexamined |
spellingShingle |
Light-front gauge propagator reexamined Suzuki, Alfredo T. |
title_short |
Light-front gauge propagator reexamined |
title_full |
Light-front gauge propagator reexamined |
title_fullStr |
Light-front gauge propagator reexamined |
title_full_unstemmed |
Light-front gauge propagator reexamined |
title_sort |
Light-front gauge propagator reexamined |
author |
Suzuki, Alfredo T. |
author_facet |
Suzuki, Alfredo T. Sales, J. H.O. |
author_role |
author |
author2 |
Sales, J. H.O. |
author2_role |
author |
dc.contributor.none.fl_str_mv |
Instituto de Fisica Teórica |
dc.contributor.author.fl_str_mv |
Suzuki, Alfredo T. Sales, J. H.O. |
description |
Gauge fields are special in the sense that they are invariant under gauge transformations and ipso facto they lead to problems when we try quantizing them straightforwardly. To circumvent this problem we need to specify a gauge condition to fix the gauge so that the fields that are connected by gauge invariance are not overcounted in the process of quantization. The usual way we do this in the light-front is through the introduction of a Lagrange multiplier, (n·A)2, where nμ is the external light-like vector, i.e., n2=0, and Aμ is the vector potential. This leads to the usual light-front propagator with all the ensuing characteristics such as the prominent (k·n)-1 pole which has been the subject of much research. However, it has been for long recognized that this procedure is incomplete in that there remains a residual gauge freedom still to be fixed by some ad hoc prescription, and this is normally worked out to remedy some unwieldy aspect that emerges along the way. In this work we propose a new Lagrange multiplier for the light-front gauge that leads to the correctly defined propagator with no residual gauge freedom left. This is accomplished via (n·A)(∂·A) term in the Lagrangian density. This leads to a well-defined and exact though Lorentz non-invariant propagator. © 2003 Elsevier B.V. All rights reserved. |
publishDate |
2003 |
dc.date.none.fl_str_mv |
2003-09-22 2022-04-29T08:42:51Z 2022-04-29T08:42:51Z |
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/10.1016/S0375-9474(03)01575-6 Nuclear Physics A, v. 725, p. 139-148. 0375-9474 http://hdl.handle.net/11449/230948 10.1016/S0375-9474(03)01575-6 2-s2.0-0042074382 |
url |
http://dx.doi.org/10.1016/S0375-9474(03)01575-6 http://hdl.handle.net/11449/230948 |
identifier_str_mv |
Nuclear Physics A, v. 725, p. 139-148. 0375-9474 10.1016/S0375-9474(03)01575-6 2-s2.0-0042074382 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Nuclear Physics A |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
139-148 |
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_ |
1808128397273989120 |