The hydrohedron: bootstrapping relativistic hydrodynamics
The hydrohedron: bootstrapping relativistic hydrodynamics
As an effective theory, relativistic hydrodynamics is fixed by symmetries up to a set of transport coefficients. A lot of effort has been devoted to explicit calculations of these coefficients. Here we propose a shift in perspective: we deploy bootstrap techniques to rule out theories that are inconsistent with microscopic causality. What remains is a universal convex geometry in the space of transport coefficients, which we call the hydrohedron. The landscape of all consistent theories necessarily lie inside or on the edges of the hydrohedron. We analytically construct cross-sections of the hydrohedron corresponding to bounds on transport coefficients that appear in sound and diffusion modes for theories without stochastic fluctuations.
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
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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
[Unknown type: UNSPECIFIED]
Abstract
As an effective theory, relativistic hydrodynamics is fixed by symmetries up to a set of transport coefficients. A lot of effort has been devoted to explicit calculations of these coefficients. Here we propose a shift in perspective: we deploy bootstrap techniques to rule out theories that are inconsistent with microscopic causality. What remains is a universal convex geometry in the space of transport coefficients, which we call the hydrohedron. The landscape of all consistent theories necessarily lie inside or on the edges of the hydrohedron. We analytically construct cross-sections of the hydrohedron corresponding to bounds on transport coefficients that appear in sound and diffusion modes for theories without stochastic fluctuations.
Text
2305.07703v2
- Author's Original
Available under License Other.
More information
Accepted/In Press date: 22 January 2024
Additional Information:
10 pages + appendices, 2 figures. Added N=4 SYM, MIS, BDNK, kinetic theory to the hydrohedron plots. Some technical details moved to appendices.
Keywords:
hep-th, cond-mat.stat-mech, gr-qc, math-ph, math.MP, nucl-th
Identifiers
Local EPrints ID: 494971
URI: http://eprints.soton.ac.uk/id/eprint/494971
PURE UUID: e13becb9-b91b-4a68-ac38-dc1a85b86cda
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Date deposited: 24 Oct 2024 16:41
Last modified: 25 Oct 2024 01:27
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Contributors
Author:
Michal P. Heller
Author:
Alexandre Serantes
Author:
Michał Spaliński
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