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Rigorous bounds on transport from causality

Michal Heller (UGent) , Alexandre Serantes, Michał Spaliński and Benjamin Withers
(2023) PHYSICAL REVIEW LETTERS. 130(26).
Author
Organization
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.
Keywords
General Physics and Astronomy, THERMODYNAMICS

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Citation

Please use this url to cite or link to this publication:

MLA
Heller, Michal, et al. “Rigorous Bounds on Transport from Causality.” PHYSICAL REVIEW LETTERS, vol. 130, no. 26, 2023, doi:10.1103/physrevlett.130.261601.
APA
Heller, M., Serantes, A., Spaliński, M., & Withers, B. (2023). Rigorous bounds on transport from causality. PHYSICAL REVIEW LETTERS, 130(26). https://doi.org/10.1103/physrevlett.130.261601
Chicago author-date
Heller, Michal, Alexandre Serantes, Michał Spaliński, and Benjamin Withers. 2023. “Rigorous Bounds on Transport from Causality.” PHYSICAL REVIEW LETTERS 130 (26). https://doi.org/10.1103/physrevlett.130.261601.
Chicago author-date (all authors)
Heller, Michal, Alexandre Serantes, Michał Spaliński, and Benjamin Withers. 2023. “Rigorous Bounds on Transport from Causality.” PHYSICAL REVIEW LETTERS 130 (26). doi:10.1103/physrevlett.130.261601.
Vancouver
1.
Heller M, Serantes A, Spaliński M, Withers B. Rigorous bounds on transport from causality. PHYSICAL REVIEW LETTERS. 2023;130(26).
IEEE
[1]
M. Heller, A. Serantes, M. Spaliński, and B. Withers, “Rigorous bounds on transport from causality,” PHYSICAL REVIEW LETTERS, vol. 130, no. 26, 2023.
@article{01H46P8VK3KFXY96M11ZMQJ7HD,
  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.}},
  articleno    = {{261601}},
  author       = {{Heller, Michal and Serantes, Alexandre and Spaliński, Michał and Withers, Benjamin}},
  issn         = {{0031-9007}},
  journal      = {{PHYSICAL REVIEW LETTERS}},
  keywords     = {{General Physics and Astronomy,THERMODYNAMICS}},
  language     = {{eng}},
  number       = {{26}},
  pages        = {{5}},
  title        = {{Rigorous bounds on transport from causality}},
  url          = {{http://doi.org/10.1103/physrevlett.130.261601}},
  volume       = {{130}},
  year         = {{2023}},
}
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