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Rigorous bounds on transport from causality

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.
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
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

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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.

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2212.07434v1 - Author's Original
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More information

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
ORCID for Benjamin Withers: ORCID iD orcid.org/0000-0001-8490-9948

Catalogue record

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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