Power corrections and gradient expansion in QED transport theory

The hard thermal loop (HTL) effective field theory of QED can be derived from the classical limit of transport theory, corresponding to the leading term in a gradient expansion of the quantum approach. In this paper, we show that power corrections to the HTL effective Lagrangian of QED can also be o...

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Detalhes bibliográficos
Autores: Carignano, Stefano, Manuel, Cristina
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:2021
País:España
Recursos:Consejo Superior de Investigaciones Científicas (CSIC)
Repositório:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/261305
Acesso em linha:http://hdl.handle.net/10261/261305
Access Level:Acceso aberto
Palavra-chave:Finite temperatur field theory
Quark-gluon plasma
Plasma kinetic theory
Plasma physics
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spelling Power corrections and gradient expansion in QED transport theoryCarignano, StefanoManuel, CristinaFinite temperatur field theoryQuark-gluon plasmaPlasma kinetic theoryPlasma physicsThe hard thermal loop (HTL) effective field theory of QED can be derived from the classical limit of transport theory, corresponding to the leading term in a gradient expansion of the quantum approach. In this paper, we show that power corrections to the HTL effective Lagrangian of QED can also be obtained from transport theory by including higher orders in such gradient expansion. The gradient expansion is increasingly infrared (IR) divergent, but the correction that we compute is IR finite. We employ dimensional regularization, and show that this result comes after a cancellation of divergencies between the vacuum and medium contributions. While the transport framework is an effective field theory of the long distance physics of the plasma, we show that it correctly reproduces the correct QED ultraviolet divergencies associated with the photon wave function renormalization.We have been supported by Ministerio de Ciencia, Investigacion y Universidaddes (Spain) under the project No. PID2019–110165 GB-I00/AEI/10.13039/50110001 1033, as well as by the Generalitat de Catalunya by the project No. 2017-SGR-247 (Catalonia). This work was also supported by the COSTAction No. CA15213 THORAmerican Physical SocietyMinisterio de Ciencia, Innovación y Universidades (España)Generalitat de CatalunyaConsejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]2022202220212022info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501Publisher's versioninfo:eu-repo/semantics/publishedVersionhttp://hdl.handle.net/10261/261305reponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)Inglés#PLACEHOLDER_PARENT_METADATA_VALUE#info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-110165GB-I00http://doi.org/10.1103/PhysRevD.104.056031Síinfo:eu-repo/semantics/openAccessoai:digital.csic.es:10261/2613052026-05-22T06:33:51Z
dc.title.none.fl_str_mv Power corrections and gradient expansion in QED transport theory
title Power corrections and gradient expansion in QED transport theory
spellingShingle Power corrections and gradient expansion in QED transport theory
Carignano, Stefano
Finite temperatur field theory
Quark-gluon plasma
Plasma kinetic theory
Plasma physics
title_short Power corrections and gradient expansion in QED transport theory
title_full Power corrections and gradient expansion in QED transport theory
title_fullStr Power corrections and gradient expansion in QED transport theory
title_full_unstemmed Power corrections and gradient expansion in QED transport theory
title_sort Power corrections and gradient expansion in QED transport theory
dc.creator.none.fl_str_mv Carignano, Stefano
Manuel, Cristina
author Carignano, Stefano
author_facet Carignano, Stefano
Manuel, Cristina
author_role author
author2 Manuel, Cristina
author2_role author
dc.contributor.none.fl_str_mv Ministerio de Ciencia, Innovación y Universidades (España)
Generalitat de Catalunya
Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]
dc.subject.none.fl_str_mv Finite temperatur field theory
Quark-gluon plasma
Plasma kinetic theory
Plasma physics
topic Finite temperatur field theory
Quark-gluon plasma
Plasma kinetic theory
Plasma physics
description The hard thermal loop (HTL) effective field theory of QED can be derived from the classical limit of transport theory, corresponding to the leading term in a gradient expansion of the quantum approach. In this paper, we show that power corrections to the HTL effective Lagrangian of QED can also be obtained from transport theory by including higher orders in such gradient expansion. The gradient expansion is increasingly infrared (IR) divergent, but the correction that we compute is IR finite. We employ dimensional regularization, and show that this result comes after a cancellation of divergencies between the vacuum and medium contributions. While the transport framework is an effective field theory of the long distance physics of the plasma, we show that it correctly reproduces the correct QED ultraviolet divergencies associated with the photon wave function renormalization.
publishDate 2021
dc.date.none.fl_str_mv 2021
2022
2022
2022
dc.type.none.fl_str_mv info:eu-repo/semantics/article
http://purl.org/coar/resource_type/c_6501
Publisher's version
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10261/261305
url http://hdl.handle.net/10261/261305
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv #PLACEHOLDER_PARENT_METADATA_VALUE#
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-110165GB-I00
http://doi.org/10.1103/PhysRevD.104.056031

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dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
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instname:Consejo Superior de Investigaciones Científicas (CSIC)
instname_str Consejo Superior de Investigaciones Científicas (CSIC)
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