Thermal three-point functions from holographic Schwinger-Keldysh contours
Thermal three-point functions from holographic Schwinger-Keldysh contours
We compute fully retarded scalar three-point functions of holographic CFTs at finite temperature using real-time holography. They describe the nonlinear response of a holographic medium under scalar forcing, and display single and higher-order poles associated to resonant QNM excitations. This involves computing the bulk-to-bulk propagator on a piecewise mixed-signature spacetime, the dual of the Schwinger-Keldysh contour. We show this construction is equivalent to imposing ingoing boundary conditions on a single copy of a black hole spacetime, similar to the case of the two-point function. We also compute retarded scalar correlators with stress-tensor insertions in general CFTs by solving Ward identities on the Schwinger-Keldysh contour.
hep-th, cond-mat.stat-mech, gr-qc
Pantelidou, Christiana
c20e6717-394f-4884-b741-d5ab233c8e27
Withers, Benjamin
e510375b-c5d2-4d5f-bd68-40ace13f0ec9
16 November 2022
Pantelidou, Christiana
c20e6717-394f-4884-b741-d5ab233c8e27
Withers, Benjamin
e510375b-c5d2-4d5f-bd68-40ace13f0ec9
[Unknown type: UNSPECIFIED]
Abstract
We compute fully retarded scalar three-point functions of holographic CFTs at finite temperature using real-time holography. They describe the nonlinear response of a holographic medium under scalar forcing, and display single and higher-order poles associated to resonant QNM excitations. This involves computing the bulk-to-bulk propagator on a piecewise mixed-signature spacetime, the dual of the Schwinger-Keldysh contour. We show this construction is equivalent to imposing ingoing boundary conditions on a single copy of a black hole spacetime, similar to the case of the two-point function. We also compute retarded scalar correlators with stress-tensor insertions in general CFTs by solving Ward identities on the Schwinger-Keldysh contour.
Text
2211.09140v1
- Author's Original
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Published date: 16 November 2022
Additional Information:
21 pages, 4 figures
Keywords:
hep-th, cond-mat.stat-mech, gr-qc
Identifiers
Local EPrints ID: 473735
URI: http://eprints.soton.ac.uk/id/eprint/473735
ISSN: 2331-8422
PURE UUID: 7232f89a-ae38-456b-92a2-e5dc3e93735a
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Date deposited: 30 Jan 2023 19:51
Last modified: 17 Mar 2024 02:28
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Author:
Christiana Pantelidou
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