Geodesic
$(1+1)$-Correlators and moving massive defects
Teoretičeskaâ i matematičeskaâ fizika, Tome 188 (2016) no. 1, pp. 85-120

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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. 
@article{TMF_2016_188_1_a5,
     author = {D. S. Ageev and I. Ya. Aref'eva and M. D. Tikhanovskaya},
     title = {$(1+1)${-Correlators} and moving massive defects},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {85--120},
     publisher = {mathdoc},
     volume = {188},
     number = {1},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2016_188_1_a5/}
}
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D. S. Ageev; I. Ya. Aref'eva; M. D. Tikhanovskaya. $(1+1)$-Correlators and moving massive defects. Teoretičeskaâ i matematičeskaâ fizika, Tome 188 (2016) no. 1, pp. 85-120. http://geodesic.mathdoc.fr/item/TMF_2016_188_1_a5/