N=2 supersymmetric QCD and elliptic potentials

Detalhes bibliográficos
Autor(a) principal: He, Wei
Data de Publicação: 2014
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1007/JHEP11(2014)030
http://hdl.handle.net/11449/116241
Resumo: We investigate the relation between the four dimensional N = 2 SU(2) super Yang-Mills theory with four fundamental flavors and the quantum mechanics model with Treibich-Verdier potential described by the Heun equation in the elliptic form. We study the precise correspondence of quantities in the gauge theory and the quantum mechanics model. An iterative method is used to obtain the asymptotic expansion of the spectrum for the Schrodinger operator, we are able to fix the precise relation between the energy spectrum and the instanton partition function of the gauge theory. We also study asymptotic expansions for the spectrum which correspond to the strong coupling regions of the Seiberg-Witten theory.
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spelling N=2 supersymmetric QCD and elliptic potentialsSupersymmetric gauge theoryIntegrable Equations in PhysicsNonperturbative EffectsWe investigate the relation between the four dimensional N = 2 SU(2) super Yang-Mills theory with four fundamental flavors and the quantum mechanics model with Treibich-Verdier potential described by the Heun equation in the elliptic form. We study the precise correspondence of quantities in the gauge theory and the quantum mechanics model. An iterative method is used to obtain the asymptotic expansion of the spectrum for the Schrodinger operator, we are able to fix the precise relation between the energy spectrum and the instanton partition function of the gauge theory. We also study asymptotic expansions for the spectrum which correspond to the strong coupling regions of the Seiberg-Witten theory.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Univ Estadual Paulista, Inst Fis Teor, BR-01140070 Sao Paulo, BrazilUniv Estadual Paulista, Inst Fis Teor, BR-01140070 Sao Paulo, BrazilFAPESP: 11/21812-8SpringerUniversidade Estadual Paulista (Unesp)He, Wei2015-03-18T15:52:55Z2015-03-18T15:52:55Z2014-11-06info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article29application/pdfhttp://dx.doi.org/10.1007/JHEP11(2014)030Journal Of High Energy Physics. New York: Springer, n. 11, 29 p., 2014.1029-8479http://hdl.handle.net/11449/11624110.1007/JHEP11(2014)030WOS:000344748100001WOS000344748100001.pdfWeb of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal Of High Energy Physics5.5411,227info:eu-repo/semantics/openAccess2024-01-04T06:28:36Zoai:repositorio.unesp.br:11449/116241Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T22:08:07.252318Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv N=2 supersymmetric QCD and elliptic potentials
title N=2 supersymmetric QCD and elliptic potentials
spellingShingle N=2 supersymmetric QCD and elliptic potentials
He, Wei
Supersymmetric gauge theory
Integrable Equations in Physics
Nonperturbative Effects
title_short N=2 supersymmetric QCD and elliptic potentials
title_full N=2 supersymmetric QCD and elliptic potentials
title_fullStr N=2 supersymmetric QCD and elliptic potentials
title_full_unstemmed N=2 supersymmetric QCD and elliptic potentials
title_sort N=2 supersymmetric QCD and elliptic potentials
author He, Wei
author_facet He, Wei
author_role author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv He, Wei
dc.subject.por.fl_str_mv Supersymmetric gauge theory
Integrable Equations in Physics
Nonperturbative Effects
topic Supersymmetric gauge theory
Integrable Equations in Physics
Nonperturbative Effects
description We investigate the relation between the four dimensional N = 2 SU(2) super Yang-Mills theory with four fundamental flavors and the quantum mechanics model with Treibich-Verdier potential described by the Heun equation in the elliptic form. We study the precise correspondence of quantities in the gauge theory and the quantum mechanics model. An iterative method is used to obtain the asymptotic expansion of the spectrum for the Schrodinger operator, we are able to fix the precise relation between the energy spectrum and the instanton partition function of the gauge theory. We also study asymptotic expansions for the spectrum which correspond to the strong coupling regions of the Seiberg-Witten theory.
publishDate 2014
dc.date.none.fl_str_mv 2014-11-06
2015-03-18T15:52:55Z
2015-03-18T15:52:55Z
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/10.1007/JHEP11(2014)030
Journal Of High Energy Physics. New York: Springer, n. 11, 29 p., 2014.
1029-8479
http://hdl.handle.net/11449/116241
10.1007/JHEP11(2014)030
WOS:000344748100001
WOS000344748100001.pdf
url http://dx.doi.org/10.1007/JHEP11(2014)030
http://hdl.handle.net/11449/116241
identifier_str_mv Journal Of High Energy Physics. New York: Springer, n. 11, 29 p., 2014.
1029-8479
10.1007/JHEP11(2014)030
WOS:000344748100001
WOS000344748100001.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Journal Of High Energy Physics
5.541
1,227
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 29
application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv Web of Science
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)
repository.mail.fl_str_mv
_version_ 1808129395976568832

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