Abstract
We calculate the connected stress-tensor correlation functions that are dual to a certain class of graviton scattering amplitudes in an asymptotically anti-de Sitter, black brane spacetime. This is a continuation of a previous study in which one-particle-irreducible amplitudes were calculated for arbitrarily higher-derivative gravity in a particular kinetic regime of high energies and large scattering angles. The utility of this regime is twofold: It is particularly well suited for translating scattering amplitudes into the language of the gauge theory and it emphasizes the contributions from higher-derivative corrections (which would otherwise be perturbatively suppressed). Using the new results, we show how it could be possible to identify, experimentally, the gravitational dual to a strongly coupled fluid such as the quark-gluon plasma.
Highlights
The gauge-gravity duality provides a framework for learning about strongly coupled, D-dimensional gauge theories by studying theories of weakly coupled, (D þ 1)dimensional gravity [1]
We calculate the connected stress-tensor correlation functions that are dual to a certain class of graviton scattering amplitudes in an asymptotically anti-de Sitter, black brane spacetime
Suppose that one is dealing with a physical system which is described by a gauge theory of large-yet-finite rank
Summary
The gauge-gravity duality provides a framework for learning about strongly coupled, D-dimensional gauge theories by studying theories of weakly coupled, (D þ 1)dimensional gravity [1]. We will be interested in the correspondence between stress-tensor correlation functions on the gauge side and graviton scattering amplitudes on the side of the gravitational dual [2,3]. We start with the graviton scattering amplitudes for generic, multiderivative theories of gravity (with or without matter fields). This is achieved by a gauge transformation that redefines the metric so as to include terms that depend linearly on the Ricci scalar and tensor Such a manifestly gauge-invariant action can be used as a means for identifying the one-particle-irreducible (1PI) scattering amplitudes. In a previous treatment [7], we calculated a certain class of graviton multipoint scattering amplitudes for higherderivative theories in the bulk of an (asymptotically) AdS spacetime This was achieved by restricting considerations to what was originally described in Ref. For a detailed discussion on how the resultant data could be used to test our findings, see Ref. [12]
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