Rigorous bounds on transport from causality

Heller, Michal P., Serantes, Alexandre, Spaliński, Michał and Withers, Benjamin (2023) Rigorous bounds on transport from causality. Physical Review Letters, 130 (26), [261601]. (doi:10.1103/PhysRevLett.130.261601).

Record type: Article

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 in cases where stochastic fluctuations are negligible. We then give two-sided bounds on all transport coefficients in units of this radius, including an upper bound on diffusivity.

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Accepted/In Press date: 6 June 2023

Published date: 26 June 2023

Additional Information: Funding Information: We thank Christiana Pantelidou for providing the data from Fig. 1 of . We thank Richard Davison, Luca V. Delacrétaz, and Lorenzo Gavassino for useful correspondence. A. S. acknowledges financial support from Grant No. CEX2019-000918-M funded by Ministerio de Ciencia e Innovación (MCIN)/Agencia Estatal de Investigación (AEI)/10.13039/501100011033. M. S. is supported by the National Science Centre, Poland, under Grants No. 2018/29/B/ST2/02457 and No. 2021/41/B/ST2/02909. B. W. is supported by a Royal Society University Research Fellowship and in part by the Science and Technology Facilities Council (Consolidated Grant “Exploring the Limits of the Standard Model and Beyond”). We would further like to thank the Isaac Newton Institute for Mathematical Sciences, Cambridge, for support and hospitality during the programme “Applicable Resurgent Asymptotics: Towards a Universal Theory”. Publisher Copyright: © 2023 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the "https://creativecommons.org/licenses/by/4.0/"Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP3.

Keywords: cond-mat.stat-mech, gr-qc, hep-th, math-ph, math.MP, nucl-th