Ward identities and chiral anomalies for coupled fermionic chains

Detalhes bibliográficos
Autor(a) principal: Ferraz Filho, Álvaro
Data de Publicação: 2013
Outros Autores: Costa, L. C., Mastropietro, Vieri
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRN
Texto Completo: https://repositorio.ufrn.br/jspui/handle/123456789/29369
Resumo: Coupledfermionicchainsareusuallydescribedbyaneffectivemodelwritteninterms of bonding and anti-bonding fermionic fields with linear dispersion in the vicinities therespectiveFermipoints.WederiveforthefirsttimeexactWardIdentities(WI) for this model, proving the existence of chiral anomalies which verify the AdlerBardeen non-renormalization property. Such WI are expected to play a crucial role in the understanding of the thermodynamic properties of the system. Our results are non-perturbative and are obtained analyzing Grassmann functional integrals by means of constructive quantum field theory methods. C 2013 AIP Publishing LLC.
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spelling Ferraz Filho, ÁlvaroCosta, L. C.Mastropietro, Vieri2020-06-26T01:11:51Z2020-06-26T01:11:51Z2013-12-10COSTA, L. C.; FERRAZ FILHO, Alvaro; MASTROPIETRO, Vieri. Ward identities and chiral anomalies for coupled fermionic chains. Journal Of Mathematical Physics, [s. l.], v. 54, n. 12, p. 121901-121920, dez. 2013. AIP Publishing. ISSN 1089-7658 versão online. DOI http://dx.doi.org/10.1063/1.4839416. Disponível em: https://aip.scitation.org/doi/10.1063/1.4839416. Acesso em: 25 jun. 2020.0022-2488 (print), 1089-7658 (online)https://repositorio.ufrn.br/jspui/handle/123456789/2936910.1063/1.4839416AIP PublishingChiral anomaliesFermionic chainsWard identities and chiral anomalies for coupled fermionic chainsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleCoupledfermionicchainsareusuallydescribedbyaneffectivemodelwritteninterms of bonding and anti-bonding fermionic fields with linear dispersion in the vicinities therespectiveFermipoints.WederiveforthefirsttimeexactWardIdentities(WI) for this model, proving the existence of chiral anomalies which verify the AdlerBardeen non-renormalization property. Such WI are expected to play a crucial role in the understanding of the thermodynamic properties of the system. Our results are non-perturbative and are obtained analyzing Grassmann functional integrals by means of constructive quantum field theory methods. C 2013 AIP Publishing LLC.engreponame:Repositório Institucional da UFRNinstname:Universidade Federal do Rio Grande do Norte (UFRN)instacron:UFRNinfo:eu-repo/semantics/openAccessORIGINALWardIdentitiesAndChiralAnomaliesForCoupledFermionicChains_2013.pdfWardIdentitiesAndChiralAnomaliesForCoupledFermionicChains_2013.pdfapplication/pdf1527143https://repositorio.ufrn.br/bitstream/123456789/29369/1/WardIdentitiesAndChiralAnomaliesForCoupledFermionicChains_2013.pdf6efe6d458026cf43b477b6ddbf02cb1aMD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81484https://repositorio.ufrn.br/bitstream/123456789/29369/2/license.txte9597aa2854d128fd968be5edc8a28d9MD52TEXTWardIdentitiesAndChiralAnomaliesForCoupledFermionicChains_2013.pdf.txtWardIdentitiesAndChiralAnomaliesForCoupledFermionicChains_2013.pdf.txtExtracted texttext/plain51458https://repositorio.ufrn.br/bitstream/123456789/29369/3/WardIdentitiesAndChiralAnomaliesForCoupledFermionicChains_2013.pdf.txt057e93e5909fc82f5949d27a2a80e75cMD53THUMBNAILWardIdentitiesAndChiralAnomaliesForCoupledFermionicChains_2013.pdf.jpgWardIdentitiesAndChiralAnomaliesForCoupledFermionicChains_2013.pdf.jpgGenerated Thumbnailimage/jpeg1504https://repositorio.ufrn.br/bitstream/123456789/29369/4/WardIdentitiesAndChiralAnomaliesForCoupledFermionicChains_2013.pdf.jpg04095627d93fe2142c5f81569249904fMD54123456789/293692020-06-28 04:40:44.861oai:https://repositorio.ufrn.br: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Repositório de PublicaçõesPUBhttp://repositorio.ufrn.br/oai/opendoar:2020-06-28T07:40:44Repositório Institucional da UFRN - Universidade Federal do Rio Grande do Norte (UFRN)false
dc.title.pt_BR.fl_str_mv Ward identities and chiral anomalies for coupled fermionic chains
title Ward identities and chiral anomalies for coupled fermionic chains
spellingShingle Ward identities and chiral anomalies for coupled fermionic chains
Ferraz Filho, Álvaro
Chiral anomalies
Fermionic chains
title_short Ward identities and chiral anomalies for coupled fermionic chains
title_full Ward identities and chiral anomalies for coupled fermionic chains
title_fullStr Ward identities and chiral anomalies for coupled fermionic chains
title_full_unstemmed Ward identities and chiral anomalies for coupled fermionic chains
title_sort Ward identities and chiral anomalies for coupled fermionic chains
author Ferraz Filho, Álvaro
author_facet Ferraz Filho, Álvaro
Costa, L. C.
Mastropietro, Vieri
author_role author
author2 Costa, L. C.
Mastropietro, Vieri
author2_role author
author
dc.contributor.author.fl_str_mv Ferraz Filho, Álvaro
Costa, L. C.
Mastropietro, Vieri
dc.subject.por.fl_str_mv Chiral anomalies
Fermionic chains
topic Chiral anomalies
Fermionic chains
description Coupledfermionicchainsareusuallydescribedbyaneffectivemodelwritteninterms of bonding and anti-bonding fermionic fields with linear dispersion in the vicinities therespectiveFermipoints.WederiveforthefirsttimeexactWardIdentities(WI) for this model, proving the existence of chiral anomalies which verify the AdlerBardeen non-renormalization property. Such WI are expected to play a crucial role in the understanding of the thermodynamic properties of the system. Our results are non-perturbative and are obtained analyzing Grassmann functional integrals by means of constructive quantum field theory methods. C 2013 AIP Publishing LLC.
publishDate 2013
dc.date.issued.fl_str_mv 2013-12-10
dc.date.accessioned.fl_str_mv 2020-06-26T01:11:51Z
dc.date.available.fl_str_mv 2020-06-26T01:11:51Z
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.citation.fl_str_mv COSTA, L. C.; FERRAZ FILHO, Alvaro; MASTROPIETRO, Vieri. Ward identities and chiral anomalies for coupled fermionic chains. Journal Of Mathematical Physics, [s. l.], v. 54, n. 12, p. 121901-121920, dez. 2013. AIP Publishing. ISSN 1089-7658 versão online. DOI http://dx.doi.org/10.1063/1.4839416. Disponível em: https://aip.scitation.org/doi/10.1063/1.4839416. Acesso em: 25 jun. 2020.
dc.identifier.uri.fl_str_mv https://repositorio.ufrn.br/jspui/handle/123456789/29369
dc.identifier.issn.none.fl_str_mv 0022-2488 (print), 1089-7658 (online)
dc.identifier.doi.none.fl_str_mv 10.1063/1.4839416
identifier_str_mv COSTA, L. C.; FERRAZ FILHO, Alvaro; MASTROPIETRO, Vieri. Ward identities and chiral anomalies for coupled fermionic chains. Journal Of Mathematical Physics, [s. l.], v. 54, n. 12, p. 121901-121920, dez. 2013. AIP Publishing. ISSN 1089-7658 versão online. DOI http://dx.doi.org/10.1063/1.4839416. Disponível em: https://aip.scitation.org/doi/10.1063/1.4839416. Acesso em: 25 jun. 2020.
0022-2488 (print), 1089-7658 (online)
10.1063/1.4839416
url https://repositorio.ufrn.br/jspui/handle/123456789/29369
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dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
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dc.publisher.none.fl_str_mv AIP Publishing
publisher.none.fl_str_mv AIP Publishing
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFRN
instname:Universidade Federal do Rio Grande do Norte (UFRN)
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