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dc.contributor.author
Garbarz, Alan Nicolás  
dc.contributor.author
Palau, Gabriel Alexis  
dc.date.available
2024-01-24T15:14:27Z  
dc.date.issued
2023-06  
dc.identifier.citation
Garbarz, Alan Nicolás; Palau, Gabriel Alexis; Relative entropy of an interval for a massless boson at finite temperature; American Physical Society; Physical Review D; 107; 12; 6-2023; 1-13  
dc.identifier.issn
2470-0010  
dc.identifier.uri
http://hdl.handle.net/11336/224716  
dc.description.abstract
We compute Araki's relative entropy associated with a bounded interval I=(a,b) between a thermal state and a coherent excitation of itself in the bosonic U(1)-current model, namely the (derivative of the) chiral boson. For this purpose we briefly review some recent results on the entropy of standard subspaces and on the relative entropy of nonpure states such as thermal states. In particular, recently Bostelmann, Cadamuro, and Del Vecchio have obtained the relative entropy at finite temperature for the unbounded interval (-∞,t), using previous results of Borchers and Yngvason, mainly a unitary dilation that provides the modular evolution in the negative half-line. Here we find a unitary rotation in order to make use of the full PSL(2,R) symmetries and obtain the modular group, the modular Hamiltonian, and the relative entropy S of a bounded interval at finite temperature. Such relative entropy entails both a Bekenstein-like bound and a QNEC-like bound, but violates S′′≥0 (derivative with respect to the length of the interval, with its center fixed). Finally, we extend the results to the free massless boson in 1+1 dimensions with analogous bounds.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
American Physical Society  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by/2.5/ar/  
dc.subject
CFT  
dc.subject
RELATIVE ENTROPY  
dc.subject
THERMAL STATE  
dc.subject.classification
Física de Partículas y Campos  
dc.subject.classification
Ciencias Físicas  
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CIENCIAS NATURALES Y EXACTAS  
dc.title
Relative entropy of an interval for a massless boson at finite temperature  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2024-01-23T11:44:25Z  
dc.identifier.eissn
2470-0029  
dc.journal.volume
107  
dc.journal.number
12  
dc.journal.pagination
1-13  
dc.journal.pais
Estados Unidos  
dc.description.fil
Fil: Garbarz, Alan Nicolás. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina  
dc.description.fil
Fil: Palau, Gabriel Alexis. Universidad de Buenos Aires; Argentina  
dc.journal.title
Physical Review D  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1103/PhysRevD.107.125016