Rigorous bounds on transport from causality
Rigorous bounds on transport from causality
We use causality to derive a number of simple and universal constraints on dispersion relations, which describe the location of singularities of retarded two-point functions in relativistic quantum field theories. We prove that all causal dissipative dispersion relations have a finite radius of convergence. We then give bounds on all transport coefficients in units of this radius, including an upper bound on diffusivity.
hep-th, cond-mat.stat-mech, gr-qc, math-ph, math.MP, nucl-th
Heller, Michal P.
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Serantes, Alexandre
e19687f5-de76-4cb3-9afa-c9d843c3f5e2
Spaliński, Michał
3fabf22d-7873-492c-8bc6-6101c914c2b0
Withers, Benjamin
e510375b-c5d2-4d5f-bd68-40ace13f0ec9
14 December 2022
Heller, Michal P.
5b6c6d3e-4731-414d-8556-bd8604ce5377
Serantes, Alexandre
e19687f5-de76-4cb3-9afa-c9d843c3f5e2
Spaliński, Michał
3fabf22d-7873-492c-8bc6-6101c914c2b0
Withers, Benjamin
e510375b-c5d2-4d5f-bd68-40ace13f0ec9
[Unknown type: UNSPECIFIED]
Abstract
We use causality to derive a number of simple and universal constraints on dispersion relations, which describe the location of singularities of retarded two-point functions in relativistic quantum field theories. We prove that all causal dissipative dispersion relations have a finite radius of convergence. We then give bounds on all transport coefficients in units of this radius, including an upper bound on diffusivity.
Text
2212.07434v1
- Author's Original
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Published date: 14 December 2022
Additional Information:
4 pages
Keywords:
hep-th, cond-mat.stat-mech, gr-qc, math-ph, math.MP, nucl-th
Identifiers
Local EPrints ID: 473866
URI: http://eprints.soton.ac.uk/id/eprint/473866
PURE UUID: 36a29b3b-8b85-4b30-ac08-7247370c4f25
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Date deposited: 02 Feb 2023 17:32
Last modified: 17 Mar 2024 02:28
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Contributors
Author:
Michal P. Heller
Author:
Alexandre Serantes
Author:
Michał Spaliński
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