Effective field theory for chaotic CFTs
Effective field theory for chaotic CFTs
We derive an effective field theory for general chaotic two-dimensional conformal field theories with a large central charge. The theory is a specific and calculable instance of a more general framework recently proposed in [1]. We discuss the gauge symmetries of the model and how they relate to the Lyapunov behaviour of certain correlators. We calculate the out-of-time-ordered correlators diagnosing quantum chaos, as well as certain more fine-grained higher-point generalizations, using our Lorentzian effective field theory. We comment on potential future applications of the effective theory to real-time thermal physics and conformal field theory.
hep-th, cond-mat.stat-mech, nlin.CD, quant-ph
Haehl, Felix M.
eb0d74fd-0d8b-4b1b-8686-79d43c2a3a5f
Rozali, Moshe
fc0eb0db-9735-41d1-b543-76f2be76d809
18 October 2018
Haehl, Felix M.
eb0d74fd-0d8b-4b1b-8686-79d43c2a3a5f
Rozali, Moshe
fc0eb0db-9735-41d1-b543-76f2be76d809
Haehl, Felix M. and Rozali, Moshe
(2018)
Effective field theory for chaotic CFTs.
Journal of High Energy Physics, 2018, [118].
(doi:10.1007/JHEP10(2018)118).
Abstract
We derive an effective field theory for general chaotic two-dimensional conformal field theories with a large central charge. The theory is a specific and calculable instance of a more general framework recently proposed in [1]. We discuss the gauge symmetries of the model and how they relate to the Lyapunov behaviour of certain correlators. We calculate the out-of-time-ordered correlators diagnosing quantum chaos, as well as certain more fine-grained higher-point generalizations, using our Lorentzian effective field theory. We comment on potential future applications of the effective theory to real-time thermal physics and conformal field theory.
Text
1808.02898v3
- Accepted Manuscript
More information
Submitted date: 8 August 2018
Accepted/In Press date: 10 October 2018
Published date: 18 October 2018
Additional Information:
33 pages, 4 figures; v2: minor improvements, added paragraph on higher spin exchanges; v3: minor improvements, added reference, published version
Keywords:
hep-th, cond-mat.stat-mech, nlin.CD, quant-ph
Identifiers
Local EPrints ID: 470052
URI: http://eprints.soton.ac.uk/id/eprint/470052
ISSN: 1126-6708
PURE UUID: 9c0d68ae-1282-4a7e-9a33-08af71a12586
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Date deposited: 30 Sep 2022 17:02
Last modified: 17 Mar 2024 04:14
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Contributors
Author:
Felix M. Haehl
Author:
Moshe Rozali
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