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Eikonal Approximation in AdS/CFT: From Shock Waves to Four-Point Functions

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 An...

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Autores principales: Cornalba, L, Schiappa, R, Costa, Miguel S, Penedones, Joao, Cornalba, Lorenzo
Lenguaje:eng
Publicado: 2006
Materias:
Acceso en línea:https://dx.doi.org/10.1088/1126-6708/2007/08/019
http://cds.cern.ch/record/998361
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author Cornalba, L
Schiappa, R
Costa, Miguel S
Penedones, Joao
Cornalba, Lorenzo
author_facet Cornalba, L
Schiappa, R
Costa, Miguel S
Penedones, Joao
Cornalba, Lorenzo
author_sort Cornalba, L
collection CERN
description 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.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2006
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spelling cern-9983612019-09-30T06:29:59Zdoi:10.1088/1126-6708/2007/08/019http://cds.cern.ch/record/998361engCornalba, LSchiappa, RCosta, Miguel SPenedones, JoaoCornalba, LorenzoEikonal Approximation in AdS/CFT: From Shock Waves to Four-Point FunctionsParticle Physics - TheoryWe 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.hep-th/0611122CERN-PH-TH-2006-233LPT-ENS-2006-49ROM-2F-2006-25oai:cds.cern.ch:9983612006-11-10
spellingShingle Particle Physics - Theory
Cornalba, L
Schiappa, R
Costa, Miguel S
Penedones, Joao
Cornalba, Lorenzo
Eikonal Approximation in AdS/CFT: From Shock Waves to Four-Point Functions
title Eikonal Approximation in AdS/CFT: From Shock Waves to Four-Point Functions
title_full Eikonal Approximation in AdS/CFT: From Shock Waves to Four-Point Functions
title_fullStr Eikonal Approximation in AdS/CFT: From Shock Waves to Four-Point Functions
title_full_unstemmed Eikonal Approximation in AdS/CFT: From Shock Waves to Four-Point Functions
title_short Eikonal Approximation in AdS/CFT: From Shock Waves to Four-Point Functions
title_sort eikonal approximation in ads/cft: from shock waves to four-point functions
topic Particle Physics - Theory
url https://dx.doi.org/10.1088/1126-6708/2007/08/019
http://cds.cern.ch/record/998361
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