Dressed perturbation theory: Perturbative approach to Dyson-Schwinger and Bethe-Salpeter equations
Autor(a) principal: | |
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Data de Publicação: | 2014 |
Tipo de documento: | Artigo de conferência |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://hdl.handle.net/11449/228179 |
Resumo: | Dressed perturbation theory (DPT) is a perturbative approach based on the idea of using dressed propagators, instead of free propagators like in ordinary perturbation theory. Quark and gluon self-energies are added to the free part of the QCD action and subtracted from the interaction part. The added self-energies are determined self-consistently via a devised symmetry-preserving power counting scheme. Correlation functions are then calculated using the modified QCD interaction according to the devised power counting. At zeroth order, DPT is very similar to the rainbow-ladder truncation scheme for Dyson-Schwinger and Bethe-Salpeter equations; the first nontrivial perturbative contribution introduces vertex corrections. Dynamical chiral symmetry breaking is realized in the light-quark sector; Goldstone's theorem and the axial-vector Ward-Takahashi identity are satisfied in the chiral limit. Higher order contributions can be calculated in a systematic, symmetry-preserving and controllable way, like in ordinary perturbation theory. |
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Repositório Institucional da UNESP |
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Dressed perturbation theory: Perturbative approach to Dyson-Schwinger and Bethe-Salpeter equationsDressed perturbation theory (DPT) is a perturbative approach based on the idea of using dressed propagators, instead of free propagators like in ordinary perturbation theory. Quark and gluon self-energies are added to the free part of the QCD action and subtracted from the interaction part. The added self-energies are determined self-consistently via a devised symmetry-preserving power counting scheme. Correlation functions are then calculated using the modified QCD interaction according to the devised power counting. At zeroth order, DPT is very similar to the rainbow-ladder truncation scheme for Dyson-Schwinger and Bethe-Salpeter equations; the first nontrivial perturbative contribution introduces vertex corrections. Dynamical chiral symmetry breaking is realized in the light-quark sector; Goldstone's theorem and the axial-vector Ward-Takahashi identity are satisfied in the chiral limit. Higher order contributions can be calculated in a systematic, symmetry-preserving and controllable way, like in ordinary perturbation theory.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Instituto de Física Teórica Universidade Estadual Paulista, Rua Dr. Bento Teobaldo Ferraz, 271 - Bloco IIInstituto de Física Teórica Universidade Estadual Paulista, Rua Dr. Bento Teobaldo Ferraz, 271 - Bloco IIFAPESP: 2009/50180-0FAPESP: 2013/01907-0Universidade Estadual Paulista (UNESP)Krein, Gastão [UNESP]2022-04-29T07:50:07Z2022-04-29T07:50:07Z2014-02-12info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObjectProceedings of Science, v. 02-06-September-2013.1824-8039http://hdl.handle.net/11449/2281792-s2.0-84977107263Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengProceedings of Scienceinfo:eu-repo/semantics/openAccess2022-04-29T07:50:07Zoai:repositorio.unesp.br:11449/228179Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T14:40:58.858121Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Dressed perturbation theory: Perturbative approach to Dyson-Schwinger and Bethe-Salpeter equations |
title |
Dressed perturbation theory: Perturbative approach to Dyson-Schwinger and Bethe-Salpeter equations |
spellingShingle |
Dressed perturbation theory: Perturbative approach to Dyson-Schwinger and Bethe-Salpeter equations Krein, Gastão [UNESP] |
title_short |
Dressed perturbation theory: Perturbative approach to Dyson-Schwinger and Bethe-Salpeter equations |
title_full |
Dressed perturbation theory: Perturbative approach to Dyson-Schwinger and Bethe-Salpeter equations |
title_fullStr |
Dressed perturbation theory: Perturbative approach to Dyson-Schwinger and Bethe-Salpeter equations |
title_full_unstemmed |
Dressed perturbation theory: Perturbative approach to Dyson-Schwinger and Bethe-Salpeter equations |
title_sort |
Dressed perturbation theory: Perturbative approach to Dyson-Schwinger and Bethe-Salpeter equations |
author |
Krein, Gastão [UNESP] |
author_facet |
Krein, Gastão [UNESP] |
author_role |
author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (UNESP) |
dc.contributor.author.fl_str_mv |
Krein, Gastão [UNESP] |
description |
Dressed perturbation theory (DPT) is a perturbative approach based on the idea of using dressed propagators, instead of free propagators like in ordinary perturbation theory. Quark and gluon self-energies are added to the free part of the QCD action and subtracted from the interaction part. The added self-energies are determined self-consistently via a devised symmetry-preserving power counting scheme. Correlation functions are then calculated using the modified QCD interaction according to the devised power counting. At zeroth order, DPT is very similar to the rainbow-ladder truncation scheme for Dyson-Schwinger and Bethe-Salpeter equations; the first nontrivial perturbative contribution introduces vertex corrections. Dynamical chiral symmetry breaking is realized in the light-quark sector; Goldstone's theorem and the axial-vector Ward-Takahashi identity are satisfied in the chiral limit. Higher order contributions can be calculated in a systematic, symmetry-preserving and controllable way, like in ordinary perturbation theory. |
publishDate |
2014 |
dc.date.none.fl_str_mv |
2014-02-12 2022-04-29T07:50:07Z 2022-04-29T07:50:07Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/conferenceObject |
format |
conferenceObject |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
Proceedings of Science, v. 02-06-September-2013. 1824-8039 http://hdl.handle.net/11449/228179 2-s2.0-84977107263 |
identifier_str_mv |
Proceedings of Science, v. 02-06-September-2013. 1824-8039 2-s2.0-84977107263 |
url |
http://hdl.handle.net/11449/228179 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Proceedings of Science |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
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_ |
1808128399730802688 |