Correlation functions in finite temperature CFT and black hole singularities
Diego Rodrı́guez-Gómez, Jorge G. Russo
Abstract
A bstract We compute thermal 2-point correlation functions in the black brane AdS 5 background dual to 4d CFT’s at finite temperature for operators of large scaling dimension. We find a formula that matches the expected structure of the OPE. It exhibits an exponentiation property, whose origin we explain. We also compute the first correction to the two-point function due to graviton emission, which encodes the proper time from the event horizon to the black hole singularity.
Topics & Concepts
PhysicsGravitational singularitySingularityGravitonExponentiationScalingCorrelation function (quantum field theory)Black hole (networking)Event horizonMathematical physicsDuality (order theory)Scaling dimensionThermalQuantum mechanicsEvent (particle physics)GeometryMathematical analysisMathematicsPure mathematicsGravitationComputer networkQuantum field theoryComputer scienceLink-state routing protocolRouting protocolRouting (electronic design automation)DielectricMeteorologyBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesAstrophysical Phenomena and Observations