Path integral of free fields and the determinant of Laplacian in warped space-time

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.contributorUniv Paris Saclay-
Autor(es): dc.contributorOhio State Univ-
Autor(es): dc.contributorUniv Wisconsin-
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.creatorChakraborty, Soumangsu-
Autor(es): dc.creatorHashimoto, Akikazu-
Autor(es): dc.creatorNastase, Horatiu-
Data de aceite: dc.date.accessioned2025-08-21T22:50:55Z-
Data de disponibilização: dc.date.available2025-08-21T22:50:55Z-
Data de envio: dc.date.issued2025-04-29-
Data de envio: dc.date.issued2024-12-18-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1007/JHEP12(2024)143-
Fonte completa do material: dc.identifierhttps://hdl.handle.net/11449/297991-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/297991-
Descrição: dc.descriptionWe revisit the problem of computing the determinant of Klein-Gordon operator Delta=-del(2)+M-2 on Euclideanized AdS(3) with the Euclideanized time coordinate compactified with period beta, H-3/Z, by explicitly computing its eigenvalues and computing their product. Upon assuming that eigenfunctions are normalizable on H-3/Z, we found that there are no such eigenfunctions. Upon closer examination, we discover that the intuition that H-3/Z is like a box with normalizable eigenfunctions was false, and that there is, instead, a set of eigenfunctions which forms a continuum. Somewhat to our surprise, we find that there is a different operator (Delta) over tilde =r(2)Delta, which has the property that (1) the determinant of Delta and the determinant of r(2)Delta have the same dependence on beta, and that (2) the Green's function of Delta can be spectrally decomposed into eigenfunctions of (Delta) over tilde. We identify the (Delta) over tilde operator as the weighted Laplacian'' in the context of warped compactifications, and comment on possible applications.-
Descrição: dc.descriptionDepartment of Physics at The Ohio State University-
Descrição: dc.descriptionFACCTS Program at the University of Chicago-
Descrição: dc.descriptionU.S. Department of Energy, Office of Science, Office of High Energy Physics-
Descrição: dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)-
Descrição: dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)-
Descrição: dc.descriptionICTP-SAIFR-
Descrição: dc.descriptionUniv Paris Saclay, Inst Phys Theor, CNRS, CEA, F-91191 Gif Sur Yvette, France-
Descrição: dc.descriptionOhio State Univ, Ctr Cosmol & AstroParticle Phys CCAPP, Dept Phys, 191 Woodruff Ave, Columbus, OH 43210 USA-
Descrição: dc.descriptionUniv Wisconsin, Dept Phys, 1150 Univ Ave, Madison, WI 53706 USA-
Descrição: dc.descriptionUNESP Univ Estadual Paulista, Inst Fis Teor, R Dr Bento T Ferraz 271,Bl 2, BR-01140070 Sao Paulo, SP, Brazil-
Descrição: dc.descriptionUNESP Univ Estadual Paulista, Inst Fis Teor, R Dr Bento T Ferraz 271,Bl 2, BR-01140070 Sao Paulo, SP, Brazil-
Descrição: dc.descriptionDepartment of Physics at The Ohio State University: 945298-
Descrição: dc.descriptionU.S. Department of Energy, Office of Science, Office of High Energy Physics: DE-SC0017647-
Descrição: dc.descriptionFAPESP: 304583/2023-5-
Descrição: dc.descriptionICTP-SAIFR: 2019/21281-4-
Descrição: dc.description: 2021/14335-0-
Formato: dc.format22-
Idioma: dc.languageen-
Publicador: dc.publisherSpringer-
Relação: dc.relationJournal Of High Energy Physics-
???dc.source???: dc.sourceWeb of Science-
Palavras-chave: dc.subjectAdS-CFT Correspondence-
Palavras-chave: dc.subjectGauge-Gravity Correspondence-
Palavras-chave: dc.subjectThermal Field Theory-
Título: dc.titlePath integral of free fields and the determinant of Laplacian in warped space-time-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

Não existem arquivos associados a este item.