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Eikonal Approximation in AdS/CFT: From Shock Waves to Four-Point Functions | | Lorenzo Cornalba
; Miguel S. Costa
; Joao Penedones
; Ricardo Schiappa
; | | Date: |
10 Nov 2006 | | Abstract: | We initiate a program to generalize the standard eikonal approximation to compute amplitudes in Anti-de Sitter spacetimes. Inspired by the shock wave derivation of the eikonal amplitude in flat space, we study the two-point function E ~ < O_1 O_1 >_{shock} in the presence of a shock wave in Anti-de Sitter, where O_1 is a scalar primary operator in the dual conformal field theory. At tree level in the gravitational coupling, we relate the shock two-point function E to the discontinuity across a kinematical branch cut of the conformal field theory four-point function A ~ < O_1 O_2 O_1 O_2 >, where O_2 creates the shock geometry in Anti-de Sitter. Finally, we extend the above results by computing E in the presence of shock waves along the horizon of Schwarzschild BTZ black holes. This work gives new tools for the study of Planckian physics in Anti-de Sitter spacetimes. | | Source: | arXiv, hep-th/0611122 | | Services: | Forum | Review | PDF | Favorites | |
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