The HTL Lagrangian at NLO: The photon case

We calculate the two loop hard correction to the photon self-energy in an electron-positron plasma (EPP) for arbitrary soft momenta. This provides the only missing ingredient to obtain the Hard Thermal Loop (HTL) effective Lagrangian at next-to-leading order (NLO), and the full photon propagator at...

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Detalhes bibliográficos
Autores: Carignano, Stefano, Carrington, Margaret E., Soto Riera, Joan
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2020
País:España
Recursos:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/179956
Acesso em linha:https://hdl.handle.net/2445/179956
Access Level:acceso abierto
Palavra-chave:Fotons
Funcions de Lagrange
Photons
Lagrangian functions
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spelling The HTL Lagrangian at NLO: The photon caseCarignano, StefanoCarrington, Margaret E.Soto Riera, JoanFotonsFuncions de LagrangePhotonsLagrangian functionsWe calculate the two loop hard correction to the photon self-energy in an electron-positron plasma (EPP) for arbitrary soft momenta. This provides the only missing ingredient to obtain the Hard Thermal Loop (HTL) effective Lagrangian at next-to-leading order (NLO), and the full photon propagator at the same order. This result can be easily extended to obtain the soft photon propagator in a quark gluon plasma. We use the Keldysh representation of the real time formalism in the massless fermion limit, and dimensional regularization (DR) to regulate any ultraviolet (UV), infrared (IR) or collinear divergences that appear in the intermediate steps of the calculation. In the limit of soft photon momenta, our result is finite. It not only provides an correction to the Debye mass, but also a new non-local structure. A consistent regularization of radial and angular integrals is crucial to get this new structure. As an application we calculate the plasmon dispersion relations at NLO.Elsevier B.V.2020info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://hdl.handle.net/2445/179956Articles publicats en revistes (Física Quàntica i Astrofísica)reponame:Dipòsit Digital de la UBinstname:Universidad de BarcelonaInglésReproducció del document publicat a: https://doi.org/10.1016/j.physletb.2019.135193Physics Letters B, 2020, vol. 801, num. 135193https://doi.org/10.1016/j.physletb.2019.135193cc-by (c) Carignano, Stefano et al., 2020https://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:diposit.ub.edu:2445/1799562026-05-27T06:46:51Z
dc.title.none.fl_str_mv The HTL Lagrangian at NLO: The photon case
title The HTL Lagrangian at NLO: The photon case
spellingShingle The HTL Lagrangian at NLO: The photon case
Carignano, Stefano
Fotons
Funcions de Lagrange
Photons
Lagrangian functions
title_short The HTL Lagrangian at NLO: The photon case
title_full The HTL Lagrangian at NLO: The photon case
title_fullStr The HTL Lagrangian at NLO: The photon case
title_full_unstemmed The HTL Lagrangian at NLO: The photon case
title_sort The HTL Lagrangian at NLO: The photon case
dc.creator.none.fl_str_mv Carignano, Stefano
Carrington, Margaret E.
Soto Riera, Joan
author Carignano, Stefano
author_facet Carignano, Stefano
Carrington, Margaret E.
Soto Riera, Joan
author_role author
author2 Carrington, Margaret E.
Soto Riera, Joan
author2_role author
author
dc.subject.none.fl_str_mv Fotons
Funcions de Lagrange
Photons
Lagrangian functions
topic Fotons
Funcions de Lagrange
Photons
Lagrangian functions
description We calculate the two loop hard correction to the photon self-energy in an electron-positron plasma (EPP) for arbitrary soft momenta. This provides the only missing ingredient to obtain the Hard Thermal Loop (HTL) effective Lagrangian at next-to-leading order (NLO), and the full photon propagator at the same order. This result can be easily extended to obtain the soft photon propagator in a quark gluon plasma. We use the Keldysh representation of the real time formalism in the massless fermion limit, and dimensional regularization (DR) to regulate any ultraviolet (UV), infrared (IR) or collinear divergences that appear in the intermediate steps of the calculation. In the limit of soft photon momenta, our result is finite. It not only provides an correction to the Debye mass, but also a new non-local structure. A consistent regularization of radial and angular integrals is crucial to get this new structure. As an application we calculate the plasmon dispersion relations at NLO.
publishDate 2020
dc.date.none.fl_str_mv 2020
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/179956
url https://hdl.handle.net/2445/179956
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Reproducció del document publicat a: https://doi.org/10.1016/j.physletb.2019.135193
Physics Letters B, 2020, vol. 801, num. 135193
https://doi.org/10.1016/j.physletb.2019.135193
dc.rights.none.fl_str_mv cc-by (c) Carignano, Stefano et al., 2020
https://creativecommons.org/licenses/by/4.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv cc-by (c) Carignano, Stefano et al., 2020
https://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier B.V.
publisher.none.fl_str_mv Elsevier B.V.
dc.source.none.fl_str_mv Articles publicats en revistes (Física Quàntica i Astrofísica)
reponame:Dipòsit Digital de la UB
instname:Universidad de Barcelona
instname_str Universidad de Barcelona
reponame_str Dipòsit Digital de la UB
collection Dipòsit Digital de la UB
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,301629

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