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dc.contributor.authorKatz, Emanuel
dc.contributor.authorSachdev, Subir
dc.contributor.authorSørensen, Erik S.
dc.contributor.authorWitczak-Krempa, William
dc.date.accessioned2015-06-12T18:32:01Z
dc.date.issued2014
dc.identifier.citationKatz, Emanuel, Subir Sachdev, Erik S. Sørensen, and William Witczak-Krempa. 2014. “Conformal Field Theories at Nonzero Temperature: Operator Product Expansions, Monte Carlo, and Holography.” Phys. Rev. B 90 (24) (December). doi:10.1103/physrevb.90.245109.en_US
dc.identifier.issn1098-0121en_US
dc.identifier.urihttp://nrs.harvard.edu/urn-3:HUL.InstRepos:16310007
dc.description.abstractWe compute the nonzero temperature conductivity of conserved flavor currents in conformal field theories (CFTs) in 2+1 space-time dimensions. At frequencies much greater than the temperature, ℏω≫kBT, the ω dependence can be computed from the operator product expansion (OPE) between the currents and operators, which acquire a nonzero expectation value at T>0. Such results are found to be in excellent agreement with quantum Monte Carlo studies of the O(2) Wilson-Fisher CFT. Results for the conductivity and other observables are also obtained in vector 1/N expansions. We match these large ω results to the corresponding correlators of holographic representations of the CFT: the holographic approach then allows us to extrapolate to small ℏω/(kBT). Other holographic studies implicitly only used the OPE between the currents and the energy-momentum tensor, and this yields the correct leading large ω behavior for a large class of CFTs. However, for the Wilson-Fisher CFT, a relevant “thermal” operator must also be considered, and then consistency with the Monte Carlo results is obtained without a previously needed ad hoc rescaling of the T value. We also establish sum rules obeyed by the conductivity of a wide class of CFTs.en_US
dc.description.sponsorshipPhysicsen_US
dc.language.isoen_USen_US
dc.publisherAmerican Physical Society (APS)en_US
dc.relation.isversionofdoi:10.1103/PhysRevB.90.245109en_US
dash.licenseOAP
dc.titleConformal field theories at nonzero temperature: Operator product expansions, Monte Carlo, and holographyen_US
dc.typeJournal Articleen_US
dc.description.versionAccepted Manuscripten_US
dc.relation.journalPhysical Review Ben_US
dash.depositing.authorSachdev, Subir
dc.date.available2015-06-12T18:32:01Z
dc.identifier.doi10.1103/PhysRevB.90.245109*
workflow.legacycommentsFAR 2014en_US
dash.contributor.affiliatedSachdev, Subir


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