Spectral representation of lattice gluon and ghost propagators at zero temperature

Detalhes bibliográficos
Autor(a) principal: Dudal, David
Data de Publicação: 2019
Outros Autores: Oliveira, Orlando, Roelfs, Martin, Silva, Paulo
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10316/106516
https://doi.org/10.1016/j.nuclphysb.2019.114912
Resumo: 33 pages, 18 figures
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spelling Spectral representation of lattice gluon and ghost propagators at zero temperature33 pages, 18 figuresWe consider the analytic continuation of Euclidean propagator data obtained from 4D simulations to Minkowski space. In order to perform this continuation, the common approach is to first extract the K\"all\'en-Lehmann spectral density of the field. Once this is known, it can be extended to Minkowski space to yield the Minkowski propagator. However, obtaining the K\"all\'en-Lehmann spectral density from propagator data is a well known ill-posed numerical problem. To regularize this problem we implement an appropriate version of Tikhonov regularization supplemented with the Morozov discrepancy principle. We will then apply this to various toy model data to demonstrate the conditions of validity for this method, and finally to zero temperature gluon and ghost lattice QCD data. We carefully explain how to deal with the IR singularity of the massless ghost propagator. We also uncover the numerically different performance when using two ---mathematically equivalent--- versions of the K\"all\'en-Lehmann spectral integral.Elsevier2019-01-16info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10316/106516http://hdl.handle.net/10316/106516https://doi.org/10.1016/j.nuclphysb.2019.114912eng05503213http://arxiv.org/abs/1901.05348v2Dudal, DavidOliveira, OrlandoRoelfs, MartinSilva, Pauloinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-04-10T20:43:37Zoai:estudogeral.uc.pt:10316/106516Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T21:22:57.737740Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Spectral representation of lattice gluon and ghost propagators at zero temperature
title Spectral representation of lattice gluon and ghost propagators at zero temperature
spellingShingle Spectral representation of lattice gluon and ghost propagators at zero temperature
Dudal, David
title_short Spectral representation of lattice gluon and ghost propagators at zero temperature
title_full Spectral representation of lattice gluon and ghost propagators at zero temperature
title_fullStr Spectral representation of lattice gluon and ghost propagators at zero temperature
title_full_unstemmed Spectral representation of lattice gluon and ghost propagators at zero temperature
title_sort Spectral representation of lattice gluon and ghost propagators at zero temperature
author Dudal, David
author_facet Dudal, David
Oliveira, Orlando
Roelfs, Martin
Silva, Paulo
author_role author
author2 Oliveira, Orlando
Roelfs, Martin
Silva, Paulo
author2_role author
author
author
dc.contributor.author.fl_str_mv Dudal, David
Oliveira, Orlando
Roelfs, Martin
Silva, Paulo
description 33 pages, 18 figures
publishDate 2019
dc.date.none.fl_str_mv 2019-01-16
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://hdl.handle.net/10316/106516
http://hdl.handle.net/10316/106516
https://doi.org/10.1016/j.nuclphysb.2019.114912
url http://hdl.handle.net/10316/106516
https://doi.org/10.1016/j.nuclphysb.2019.114912
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 05503213
http://arxiv.org/abs/1901.05348v2
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv
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