Linde problem in Yang-Mills theory compactified on R2× T2

Detalhes bibliográficos
Autor(a) principal: Fraga, Eduardo S.
Data de Publicação: 2017
Outros Autores: Kroff, Daniel [UNESP], Noronha, Jorge
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1103/PhysRevD.95.034031
http://hdl.handle.net/11449/228350
Resumo: We investigate the perturbative expansion in SU(3) Yang-Mills theory compactified on R2×T2 where the compact space is a torus T2=Sβ1×SL1, with Sβ1 being a thermal circle with period β=1/T (T is the temperature) while SL1 is a circle with finite length L=1/M, where M is an energy scale. A Linde-type analysis indicates that perturbative calculations for the pressure in this theory break down already at order O(g2) due to the presence of a nonperturbative scale ∼gTM. We conjecture that a similar result should hold if the torus is replaced by any other compact surface of genus one.
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spelling Linde problem in Yang-Mills theory compactified on R2× T2We investigate the perturbative expansion in SU(3) Yang-Mills theory compactified on R2×T2 where the compact space is a torus T2=Sβ1×SL1, with Sβ1 being a thermal circle with period β=1/T (T is the temperature) while SL1 is a circle with finite length L=1/M, where M is an energy scale. A Linde-type analysis indicates that perturbative calculations for the pressure in this theory break down already at order O(g2) due to the presence of a nonperturbative scale ∼gTM. We conjecture that a similar result should hold if the torus is replaced by any other compact surface of genus one.Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Fundação de Amparo à Pesquisa do Estado do Rio de Janeiro (FAPERJ)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Instituto de Física Universidade Federal Do Rio de Janeiro, Caixa Postal 68528Instituto de Física Teórica Universidade Estadual Paulista, Rua Dr. Bento Teobaldo Ferraz, 271 - Bloco IIInstituto de Física Universidade de São Paulo São Paulo, C.P. 66318Instituto de Física Teórica Universidade Estadual Paulista, Rua Dr. Bento Teobaldo Ferraz, 271 - Bloco IIUniversidade Federal do Rio de Janeiro (UFRJ)Universidade Estadual Paulista (UNESP)Universidade de São Paulo (USP)Fraga, Eduardo S.Kroff, Daniel [UNESP]Noronha, Jorge2022-04-29T08:05:45Z2022-04-29T08:05:45Z2017-02-23info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1103/PhysRevD.95.034031Physical Review D, v. 95, n. 3, 2017.2470-00292470-0010http://hdl.handle.net/11449/22835010.1103/PhysRevD.95.0340312-s2.0-85021655632Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review Dinfo:eu-repo/semantics/openAccess2022-04-29T08:05:45Zoai:repositorio.unesp.br:11449/228350Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T20:31:29.019489Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Linde problem in Yang-Mills theory compactified on R2× T2
title Linde problem in Yang-Mills theory compactified on R2× T2
spellingShingle Linde problem in Yang-Mills theory compactified on R2× T2
Fraga, Eduardo S.
title_short Linde problem in Yang-Mills theory compactified on R2× T2
title_full Linde problem in Yang-Mills theory compactified on R2× T2
title_fullStr Linde problem in Yang-Mills theory compactified on R2× T2
title_full_unstemmed Linde problem in Yang-Mills theory compactified on R2× T2
title_sort Linde problem in Yang-Mills theory compactified on R2× T2
author Fraga, Eduardo S.
author_facet Fraga, Eduardo S.
Kroff, Daniel [UNESP]
Noronha, Jorge
author_role author
author2 Kroff, Daniel [UNESP]
Noronha, Jorge
author2_role author
author
dc.contributor.none.fl_str_mv Universidade Federal do Rio de Janeiro (UFRJ)
Universidade Estadual Paulista (UNESP)
Universidade de São Paulo (USP)
dc.contributor.author.fl_str_mv Fraga, Eduardo S.
Kroff, Daniel [UNESP]
Noronha, Jorge
description We investigate the perturbative expansion in SU(3) Yang-Mills theory compactified on R2×T2 where the compact space is a torus T2=Sβ1×SL1, with Sβ1 being a thermal circle with period β=1/T (T is the temperature) while SL1 is a circle with finite length L=1/M, where M is an energy scale. A Linde-type analysis indicates that perturbative calculations for the pressure in this theory break down already at order O(g2) due to the presence of a nonperturbative scale ∼gTM. We conjecture that a similar result should hold if the torus is replaced by any other compact surface of genus one.
publishDate 2017
dc.date.none.fl_str_mv 2017-02-23
2022-04-29T08:05:45Z
2022-04-29T08:05:45Z
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://dx.doi.org/10.1103/PhysRevD.95.034031
Physical Review D, v. 95, n. 3, 2017.
2470-0029
2470-0010
http://hdl.handle.net/11449/228350
10.1103/PhysRevD.95.034031
2-s2.0-85021655632
url http://dx.doi.org/10.1103/PhysRevD.95.034031
http://hdl.handle.net/11449/228350
identifier_str_mv Physical Review D, v. 95, n. 3, 2017.
2470-0029
2470-0010
10.1103/PhysRevD.95.034031
2-s2.0-85021655632
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Physical Review D
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
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