Four-point boundary connectivities in critical two-dimensional percolation from conformal invariance

Detalhes bibliográficos
Autor(a) principal: Gori, Giacomo
Data de Publicação: 2018
Outros Autores: Viti, Jacopo
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRN
Texto Completo: https://repositorio.ufrn.br/handle/123456789/30325
Resumo: We conjecture an exact form for an universal ratio of four-point cluster connectivities in the critical two-dimensional Q-color Potts model. We also provide analogous results for the limit Q ! 1 that corresponds to percolation where the observable has a logarithmic singularity. Our conjectures are tested against Monte Carlo simulations showing excellent agreement for Q = 1; 2; 3
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spelling Gori, GiacomoViti, Jacopo2020-10-08T21:50:46Z2020-10-08T21:50:46Z2018-12-21GORI, Giacomo; VITI, Jacopo. Four-point boundary connectivities in critical two-dimensional percolation from conformal invariance. Journal Of High Energy Physics, [S.L.], v. 2018, n. 12, p. 131-131, dez. 2018. Disponível em: https://link.springer.com/article/10.1007/JHEP12(2018)131. Acesso em: 18 ago. 2020.http://dx.doi.org/10.1007/jhep12(2018)1311029-8479https://repositorio.ufrn.br/handle/123456789/3032510.1007/JHEP12(2018)131SpringerAttribution 3.0 Brazilhttp://creativecommons.org/licenses/by/3.0/br/info:eu-repo/semantics/openAccessBoundary quantum field TheoryConformal field theoryRandom systemsFour-point boundary connectivities in critical two-dimensional percolation from conformal invarianceinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleWe conjecture an exact form for an universal ratio of four-point cluster connectivities in the critical two-dimensional Q-color Potts model. We also provide analogous results for the limit Q ! 1 that corresponds to percolation where the observable has a logarithmic singularity. Our conjectures are tested against Monte Carlo simulations showing excellent agreement for Q = 1; 2; 3engreponame:Repositório Institucional da UFRNinstname:Universidade Federal do Rio Grande do Norte (UFRN)instacron:UFRNORIGINALFour-pointBoundary_VITI_2018.pdfFour-pointBoundary_VITI_2018.pdfapplication/pdf865738https://repositorio.ufrn.br/bitstream/123456789/30325/1/Four-pointBoundary_VITI_2018.pdf2f023b864ce0412cb953758eeb501df7MD51CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8914https://repositorio.ufrn.br/bitstream/123456789/30325/2/license_rdf4d2950bda3d176f570a9f8b328dfbbefMD52LICENSElicense.txtlicense.txttext/plain; charset=utf-81484https://repositorio.ufrn.br/bitstream/123456789/30325/3/license.txte9597aa2854d128fd968be5edc8a28d9MD53TEXTFour-pointBoundary_VITI_2018.pdf.txtFour-pointBoundary_VITI_2018.pdf.txtExtracted texttext/plain72974https://repositorio.ufrn.br/bitstream/123456789/30325/4/Four-pointBoundary_VITI_2018.pdf.txt440d2f5c2b82f860e6fd231bb857a57bMD54THUMBNAILFour-pointBoundary_VITI_2018.pdf.jpgFour-pointBoundary_VITI_2018.pdf.jpgGenerated Thumbnailimage/jpeg1364https://repositorio.ufrn.br/bitstream/123456789/30325/5/Four-pointBoundary_VITI_2018.pdf.jpg921857054b47f9491c863cdbbff72b10MD55123456789/303252020-10-11 04:38:19.17oai:https://repositorio.ufrn.br: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Repositório de PublicaçõesPUBhttp://repositorio.ufrn.br/oai/opendoar:2020-10-11T07:38:19Repositório Institucional da UFRN - Universidade Federal do Rio Grande do Norte (UFRN)false
dc.title.pt_BR.fl_str_mv Four-point boundary connectivities in critical two-dimensional percolation from conformal invariance
title Four-point boundary connectivities in critical two-dimensional percolation from conformal invariance
spellingShingle Four-point boundary connectivities in critical two-dimensional percolation from conformal invariance
Gori, Giacomo
Boundary quantum field Theory
Conformal field theory
Random systems
title_short Four-point boundary connectivities in critical two-dimensional percolation from conformal invariance
title_full Four-point boundary connectivities in critical two-dimensional percolation from conformal invariance
title_fullStr Four-point boundary connectivities in critical two-dimensional percolation from conformal invariance
title_full_unstemmed Four-point boundary connectivities in critical two-dimensional percolation from conformal invariance
title_sort Four-point boundary connectivities in critical two-dimensional percolation from conformal invariance
author Gori, Giacomo
author_facet Gori, Giacomo
Viti, Jacopo
author_role author
author2 Viti, Jacopo
author2_role author
dc.contributor.author.fl_str_mv Gori, Giacomo
Viti, Jacopo
dc.subject.por.fl_str_mv Boundary quantum field Theory
Conformal field theory
Random systems
topic Boundary quantum field Theory
Conformal field theory
Random systems
description We conjecture an exact form for an universal ratio of four-point cluster connectivities in the critical two-dimensional Q-color Potts model. We also provide analogous results for the limit Q ! 1 that corresponds to percolation where the observable has a logarithmic singularity. Our conjectures are tested against Monte Carlo simulations showing excellent agreement for Q = 1; 2; 3
publishDate 2018
dc.date.issued.fl_str_mv 2018-12-21
dc.date.accessioned.fl_str_mv 2020-10-08T21:50:46Z
dc.date.available.fl_str_mv 2020-10-08T21:50:46Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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status_str publishedVersion
dc.identifier.citation.fl_str_mv GORI, Giacomo; VITI, Jacopo. Four-point boundary connectivities in critical two-dimensional percolation from conformal invariance. Journal Of High Energy Physics, [S.L.], v. 2018, n. 12, p. 131-131, dez. 2018. Disponível em: https://link.springer.com/article/10.1007/JHEP12(2018)131. Acesso em: 18 ago. 2020.http://dx.doi.org/10.1007/jhep12(2018)131
dc.identifier.uri.fl_str_mv https://repositorio.ufrn.br/handle/123456789/30325
dc.identifier.issn.none.fl_str_mv 1029-8479
dc.identifier.doi.none.fl_str_mv 10.1007/JHEP12(2018)131
identifier_str_mv GORI, Giacomo; VITI, Jacopo. Four-point boundary connectivities in critical two-dimensional percolation from conformal invariance. Journal Of High Energy Physics, [S.L.], v. 2018, n. 12, p. 131-131, dez. 2018. Disponível em: https://link.springer.com/article/10.1007/JHEP12(2018)131. Acesso em: 18 ago. 2020.http://dx.doi.org/10.1007/jhep12(2018)131
1029-8479
10.1007/JHEP12(2018)131
url https://repositorio.ufrn.br/handle/123456789/30325
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv Attribution 3.0 Brazil
http://creativecommons.org/licenses/by/3.0/br/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Attribution 3.0 Brazil
http://creativecommons.org/licenses/by/3.0/br/
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFRN
instname:Universidade Federal do Rio Grande do Norte (UFRN)
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reponame_str Repositório Institucional da UFRN
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