Rigorous bounds on transport from causality

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.

arXiv comment4 pages. New relational bound on sound attenuation, improved test function, references added

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• Theories of Relativistic Dissipative Fluid Dynamics
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