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Thermal three-point functions from holographic Schwinger-Keldysh contours

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.
cond-mat.stat-mech, gr-qc, hep-th, Gauge-Gravity Correspondence, Non-Equilibrium Field Theory
1126-6708
Pantelidou, Christiana
c20e6717-394f-4884-b741-d5ab233c8e27
Withers, Benjamin
e510375b-c5d2-4d5f-bd68-40ace13f0ec9
Pantelidou, Christiana
c20e6717-394f-4884-b741-d5ab233c8e27
Withers, Benjamin
e510375b-c5d2-4d5f-bd68-40ace13f0ec9

Pantelidou, Christiana and Withers, Benjamin (2023) Thermal three-point functions from holographic Schwinger-Keldysh contours. Journal of High Energy Physics, 2023 (4), [50]. (doi:10.1007/JHEP04(2023)050).

Record type: Article

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.

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JHEP04(2023)050 - Version of Record
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Accepted/In Press date: 27 March 2023
Published date: 12 April 2023
Keywords: cond-mat.stat-mech, gr-qc, hep-th, Gauge-Gravity Correspondence, Non-Equilibrium Field Theory

Identifiers

Local EPrints ID: 481587
URI: http://eprints.soton.ac.uk/id/eprint/481587
ISSN: 1126-6708
PURE UUID: f5d56412-8945-4511-ad84-8a3ca4b94399
ORCID for Benjamin Withers: ORCID iD orcid.org/0000-0001-8490-9948

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Date deposited: 04 Sep 2023 16:45
Last modified: 18 Mar 2024 02:27

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Contributors

Author: Christiana Pantelidou

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