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This article is cited in 15 scientific papers (total in 15 papers)
$(1+1)$-Correlators and moving massive defects
D. S. Ageeva, I. Ya. Aref'evaa, M. D. Tikhanovskayaba a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
b National Engineering Physics Institute "MEPhI", Moscow, Russia
Abstract:
We study correlation functions of scalar operators on the boundary of the AdS$_3$ space deformed by moving massive particles in the context of the AdS/CFT duality. To calculate two-point correlation functions, we use the geodesic approximation and the renormalized image method, obtained from the traditional image method with the renormalization taken into account. We compare results obtained using the renormalized image method with direct calculations using tracing of winding geodesics around the cone singularities. Examples demonstrate that the results coincide. We show that correlators in the geodesic approximation have a zone structure, which depends substantially on the particle mass and velocity.
Keywords:
AdS/CFT correspondence, holographic duality, conical defect, thermalization.
Received: 16.06.2015 Revised: 27.10.2015
Citation:
D. S. Ageev, I. Ya. Aref'eva, M. D. Tikhanovskaya, “$(1+1)$-Correlators and moving massive defects”, TMF, 188:1 (2016), 85–120; Theoret. and Math. Phys., 188:1 (2016), 1038–1068
Linking options:
https://www.mathnet.ru/eng/tmf9085https://doi.org/10.4213/tmf9085 https://www.mathnet.ru/eng/tmf/v188/i1/p85
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