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dc.creatorCasini, Horacio German-
dc.creatorTesté Lino, Eduardo-
dc.creatorTorroba, Gonzalo-
dc.date2018-08-31T20:06:44Z-
dc.date2018-08-31T20:06:44Z-
dc.date2017-03-
dc.date2018-08-31T14:06:48Z-
dc.date.accessioned2019-04-29T15:42:12Z-
dc.date.available2019-04-29T15:42:12Z-
dc.date.issued2017-03-
dc.identifierCasini, Horacio German; Testé Lino, Eduardo; Torroba, Gonzalo; Relative entropy and the RG flow; Springer; Journal of High Energy Physics; 2017; 3; 3-2017; 1-28-
dc.identifier1126-6708-
dc.identifierhttp://hdl.handle.net/11336/57963-
dc.identifierCONICET Digital-
dc.identifierCONICET-
dc.identifier.urihttp://rodna.bn.gov.ar:8080/jspui/handle/bnmm/299950-
dc.descriptionWe consider the relative entropy between vacuum states of two different theories: a conformal field theory (CFT), and the CFT perturbed by a relevant operator. By restricting both states to the null Cauchy surface in the causal domain of a sphere, we make the relative entropy equal to the difference of entanglement entropies. As a result, this difference has the positivity and monotonicity properties of relative entropy. From this it follows a simple alternative proof of the c-theorem in d = 2 space-time dimensions and, for d > 2, the proof that the coefficient of the area term in the entanglement entropy decreases along the renormalization group (RG) flow between fixed points. We comment on the regimes of convergence of relative entropy, depending on the space-time dimensions and the conformal dimension Δ of the perturbation that triggers the RG flow.-
dc.descriptionFil: Casini, Horacio German. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina-
dc.descriptionFil: Testé Lino, Eduardo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina-
dc.descriptionFil: Torroba, Gonzalo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina-
dc.formatapplication/pdf-
dc.formatapplication/pdf-
dc.formatapplication/pdf-
dc.languageeng-
dc.publisherSpringer-
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/https://dx.doi.org/10.1007/JHEP03(2017)089-
dc.relationinfo:eu-repo/semantics/altIdentifier/url/ttps://link.springer.com/article/10.1007%2FJHEP03%282017%29089-
dc.rightsinfo:eu-repo/semantics/openAccess-
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/-
dc.sourcereponame:CONICET Digital (CONICET)-
dc.sourceinstname:Consejo Nacional de Investigaciones Científicas y Técnicas-
dc.sourceinstacron:CONICET-
dc.source.urihttp://hdl.handle.net/11336/52312-
dc.subjectCONFORMAL FIELD THEORY-
dc.subjectRENORMALIZATION GROUP-
dc.subjectAstronomía-
dc.subjectCiencias Físicas-
dc.subjectCIENCIAS NATURALES Y EXACTAS-
dc.titleRelative entropy and the RG flow-
dc.typeinfo:eu-repo/semantics/article-
dc.typeinfo:eu-repo/semantics/publishedVersion-
dc.typeinfo:ar-repo/semantics/articulo-
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