Ward identities and chiral anomalies for coupled fermionic chains
Autor(a) principal: | |
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Data de Publicação: | 2013 |
Outros Autores: | , |
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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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 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
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) instacron:UFRN |
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Universidade Federal do Rio Grande do Norte (UFRN) |
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UFRN |
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UFRN |
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Repositório Institucional da UFRN |
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Repositório Institucional da UFRN |
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