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Renyi entropies for free field theories

Author(s): Klebanov, Igor R; Pufu, Silviu S; Sachdev, Subir; Safdi, Benjamin R

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dc.contributor.authorKlebanov, Igor R-
dc.contributor.authorPufu, Silviu S-
dc.contributor.authorSachdev, Subir-
dc.contributor.authorSafdi, Benjamin R-
dc.date.accessioned2017-11-21T19:45:03Z-
dc.date.available2017-11-21T19:45:03Z-
dc.date.issued2012-04en_US
dc.identifier.citationKlebanov, Igor R, Pufu, Silviu S, Sachdev, Subir, Safdi, Benjamin R. (2012). Renyi entropies for free field theories. JOURNAL OF HIGH ENERGY PHYSICS, 10.1007/JHEP04(2012)074en_US
dc.identifier.issn1029-8479-
dc.identifier.urihttp://arks.princeton.edu/ark:/88435/pr1fw8c-
dc.description.abstractRenyi entropies S-q are useful measures of quantum entanglement; they can be calculated from traces of the reduced density matrix raised to power q, with q >= 0. For (d + 1)-dimensional conformal field theories, the Renyi entropies across Sd-1 may be extracted from the thermal partition functions of these theories on either (d+1)-dimensional de Sitter space or R x H-d, where H-d is the d-dimensional hyperbolic space. These thermal partition functions can in turn be expressed as path integrals on branched coverings of the (d+1)-dimensional sphere and S-1 x H-d, respectively. We calculate the Renyi entropies of free massless scalars and fermions in d = 2, and show how using zeta-function regularization one finds agreement between the calculations on the branched coverings of,S-3 and on S-1 x H-2. Analogous calculations for massive free fields provide monotonic interpolating functions between the Renyi entropies at the Gaussian and the trivial fixed points. Finally, we discuss similar Renyi entropy calculations in d > 2.en_US
dc.language.isoenen_US
dc.relation.ispartofJOURNAL OF HIGH ENERGY PHYSICSen_US
dc.rightsAuthor's manuscripten_US
dc.titleRenyi entropies for free field theoriesen_US
dc.typeJournal Articleen_US
dc.identifier.doidoi:10.1007/JHEP04(2012)074-
dc.date.eissued2012-04-16en_US
pu.type.symplectichttp://www.symplectic.co.uk/publications/atom-terms/1.0/journal-articleen_US

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