Rigorous bounds on transport from causality
High Energy Physics - Theory
2023-07-12 v2 Statistical Mechanics
General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Nuclear Theory
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 two-sided bounds on all transport coefficients in units of this radius, including an upper bound on diffusivity.
Cite
@article{arxiv.2212.07434,
title = {Rigorous bounds on transport from causality},
author = {Michal P. Heller and Alexandre Serantes and Michał Spaliński and Benjamin Withers},
journal= {arXiv preprint arXiv:2212.07434},
year = {2023}
}
Comments
4 pages. New relational bound on sound attenuation, improved test function, references added