Spectral representation of lattice gluon and ghost propagators at zero temperature
Autor(a) principal: | |
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Data de Publicação: | 2019 |
Outros Autores: | , , |
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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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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7160 |
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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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1799134117878562816 |