Schwinger–Keldysh formalism
Schwinger–Keldysh formalism
These notes provide an overview of real-time techniques in quantum field theories and holography. We outline the general rationale and principles underlying the Schwinger-Keldysh formalism and its out-of-time-order generalizations. To illustrate its broad utility we frame our discussion in the language of open quantum dynamics. As a specific application we describe how such real-time observables help in understanding scrambling dynamics. We also describe the holographic prescription for computing thermal Schwinger-Keldysh observables.
Chaos, KMS condition, Open quantum systems, Out-of-time-ordered correlators, Schwinger-Keldysh formalism, Thermal field theory
89-129
Haehl, Felix
eb0d74fd-0d8b-4b1b-8686-79d43c2a3a5f
Rangamani, Mukund
c6e93885-0b7e-4e8c-92e5-56227da78a81
Hannesdottir, Holmfridur Sigridar
13 July 2025
Haehl, Felix
eb0d74fd-0d8b-4b1b-8686-79d43c2a3a5f
Rangamani, Mukund
c6e93885-0b7e-4e8c-92e5-56227da78a81
Hannesdottir, Holmfridur Sigridar
Haehl, Felix and Rangamani, Mukund
(2025)
Schwinger–Keldysh formalism.
In,
Arkani-Hamed, Nima, Giroux, Mathieu, Hannesdottir, Holmfridur Sigridar, Mizera, Sebastian and Pasiecznik, Celina
(eds.)
Records from the S-Matrix Marathon: Selected Topics on Scattering Amplitudes.
(Lecture Notes in Physics, 1041)
1 ed.
Springer Cham, .
(doi:10.1007/978-3-031-90352-6_3).
Record type:
Book Section
Abstract
These notes provide an overview of real-time techniques in quantum field theories and holography. We outline the general rationale and principles underlying the Schwinger-Keldysh formalism and its out-of-time-order generalizations. To illustrate its broad utility we frame our discussion in the language of open quantum dynamics. As a specific application we describe how such real-time observables help in understanding scrambling dynamics. We also describe the holographic prescription for computing thermal Schwinger-Keldysh observables.
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More information
e-pub ahead of print date: 1 April 2025
Published date: 13 July 2025
Keywords:
Chaos, KMS condition, Open quantum systems, Out-of-time-ordered correlators, Schwinger-Keldysh formalism, Thermal field theory
Identifiers
Local EPrints ID: 504348
URI: http://eprints.soton.ac.uk/id/eprint/504348
ISSN: 0075-8450
PURE UUID: e6a8be28-f11f-48c1-b105-25be9b460346
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Date deposited: 08 Sep 2025 16:39
Last modified: 10 Sep 2025 12:18
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Contributors
Author:
Felix Haehl
Author:
Mukund Rangamani
Editor:
Nima Arkani-Hamed
Editor:
Mathieu Giroux
Editor:
Holmfridur Sigridar Hannesdottir
Editor:
Sebastian Mizera
Editor:
Celina Pasiecznik
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