Disordered Systems and the Replica Method in AdS/CFT

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dc.creatorFujita, Mitsutoshi
dc.creatorHikida, Yasuaki
dc.creatorRyu, Shinsei
dc.creatorTakayanagi, Tadashi
dc.date2008-10-30
dc.date2008-12-18
dc.date.accessioned2026-07-07T12:32:25Z
dc.date.available2026-07-07T12:32:25Z
dc.descriptionWe formulate a holographic description of effects of disorder in conformal field theories based on the replica method and the AdS/CFT correspondence. Starting with $n$ copies of conformal field theories, randomness with a gaussian distribution is described by a deformation of double trace operators. After computing physical quantities, we take the $n \to 0$ limit at the final step. We compute correlation functions in the disordered systems by using the holographic replica method as well as the formulation in the conformal field theory. We find examples where disorder changes drastically the scaling of two point functions. The renormalization group flow of the effective central charge in our disordered systems is also discussed.
dc.description26 pages, references added, published version
dc.identifierhttps://arxiv.org/abs/0810.5394
dc.identifierhttp://arxiv.org/abs/0810.5394
dc.identifierJHEP 0812:065,2008
dc.identifierdoi:10.1088/1126-6708/2008/12/065
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/216775
dc.subjectHigh Energy Physics - Theory
dc.subjectDisordered Systems and Neural Networks
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleDisordered Systems and the Replica Method in AdS/CFT
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