Obtaining a closed-form representation for the dual bosonic thermal Green function by using methods of integration on the complex plane

Detalhes bibliográficos
Autor(a) principal: Mondaini,Leonardo
Data de Publicação: 2012
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Revista Brasileira de Ensino de Física (Online)
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172012000300005
Resumo: We derive an exact closed-form representation for the Euclidean thermal Green function of the two-dimensional (2D) free massless scalar field in coordinate space. This can be interpreted as the real part of a complex analytic function of a variable that conformally maps the infinite strip -∞ < x < ∞ (0 < τ < β) of the z = x + iτ (τ: imaginary time) plane into the upper-half-plane. Use of the Cauchy-Riemann conditions, then allows us to identify the dual thermal Green function as the imaginary part of that function.
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spelling Obtaining a closed-form representation for the dual bosonic thermal Green function by using methods of integration on the complex planethermal Green functionmassless scalar fieldresidue theoremWe derive an exact closed-form representation for the Euclidean thermal Green function of the two-dimensional (2D) free massless scalar field in coordinate space. This can be interpreted as the real part of a complex analytic function of a variable that conformally maps the infinite strip -∞ < x < ∞ (0 < τ < β) of the z = x + iτ (τ: imaginary time) plane into the upper-half-plane. Use of the Cauchy-Riemann conditions, then allows us to identify the dual thermal Green function as the imaginary part of that function.Sociedade Brasileira de Física2012-09-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172012000300005Revista Brasileira de Ensino de Física v.34 n.3 2012reponame:Revista Brasileira de Ensino de Física (Online)instname:Sociedade Brasileira de Física (SBF)instacron:SBF10.1590/S1806-11172012000300005info:eu-repo/semantics/openAccessMondaini,Leonardoeng2012-12-04T00:00:00Zoai:scielo:S1806-11172012000300005Revistahttp://www.sbfisica.org.br/rbef/https://old.scielo.br/oai/scielo-oai.php||marcio@sbfisica.org.br1806-91261806-1117opendoar:2012-12-04T00:00Revista Brasileira de Ensino de Física (Online) - Sociedade Brasileira de Física (SBF)false
dc.title.none.fl_str_mv Obtaining a closed-form representation for the dual bosonic thermal Green function by using methods of integration on the complex plane
title Obtaining a closed-form representation for the dual bosonic thermal Green function by using methods of integration on the complex plane
spellingShingle Obtaining a closed-form representation for the dual bosonic thermal Green function by using methods of integration on the complex plane
Mondaini,Leonardo
thermal Green function
massless scalar field
residue theorem
title_short Obtaining a closed-form representation for the dual bosonic thermal Green function by using methods of integration on the complex plane
title_full Obtaining a closed-form representation for the dual bosonic thermal Green function by using methods of integration on the complex plane
title_fullStr Obtaining a closed-form representation for the dual bosonic thermal Green function by using methods of integration on the complex plane
title_full_unstemmed Obtaining a closed-form representation for the dual bosonic thermal Green function by using methods of integration on the complex plane
title_sort Obtaining a closed-form representation for the dual bosonic thermal Green function by using methods of integration on the complex plane
author Mondaini,Leonardo
author_facet Mondaini,Leonardo
author_role author
dc.contributor.author.fl_str_mv Mondaini,Leonardo
dc.subject.por.fl_str_mv thermal Green function
massless scalar field
residue theorem
topic thermal Green function
massless scalar field
residue theorem
description We derive an exact closed-form representation for the Euclidean thermal Green function of the two-dimensional (2D) free massless scalar field in coordinate space. This can be interpreted as the real part of a complex analytic function of a variable that conformally maps the infinite strip -∞ < x < ∞ (0 < τ < β) of the z = x + iτ (τ: imaginary time) plane into the upper-half-plane. Use of the Cauchy-Riemann conditions, then allows us to identify the dual thermal Green function as the imaginary part of that function.
publishDate 2012
dc.date.none.fl_str_mv 2012-09-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172012000300005
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172012000300005
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S1806-11172012000300005
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Sociedade Brasileira de Física
publisher.none.fl_str_mv Sociedade Brasileira de Física
dc.source.none.fl_str_mv Revista Brasileira de Ensino de Física v.34 n.3 2012
reponame:Revista Brasileira de Ensino de Física (Online)
instname:Sociedade Brasileira de Física (SBF)
instacron:SBF
instname_str Sociedade Brasileira de Física (SBF)
instacron_str SBF
institution SBF
reponame_str Revista Brasileira de Ensino de Física (Online)
collection Revista Brasileira de Ensino de Física (Online)
repository.name.fl_str_mv Revista Brasileira de Ensino de Física (Online) - Sociedade Brasileira de Física (SBF)
repository.mail.fl_str_mv ||marcio@sbfisica.org.br
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