2000 character limit reached
Rigorous bounds on transport from causality
Published 14 Dec 2022 in hep-th, cond-mat.stat-mech, gr-qc, math-ph, math.MP, and nucl-th | (2212.07434v2)
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.
- D. T. Son and A. O. Starinets, JHEP 09, 042 (2002), arXiv:hep-th/0205051 .
- B. Withers, JHEP 06, 059 (2018), arXiv:1803.08058 .
- S. A. Hartnoll and S. P. Kumar, JHEP 12, 036 (2005), arXiv:hep-th/0508092 .
- N. Abbasi and S. Tahery, JHEP 10, 076 (2020), arXiv:2007.10024 .
- A. Jansen and C. Pantelidou, JHEP 10, 121 (2020), arXiv:2007.14418 .
- M. Baggioli, Phys. Rev. D 103, 086001 (2021), arXiv:2010.05916 .
- N. Abbasi and M. Kaminski, JHEP 03, 265 (2021), arXiv:2012.15820 .
- Y. Liu and X.-M. Wu, JHEP 01, 155 (2022), arXiv:2111.07770 .
- W. Israel, Annals Phys. 100, 310 (1976).
- W. Israel and J. M. Stewart, Annals Phys. 118, 341 (1979).
- A. Holland, Introduction to the Theory of Entire Functions, ISSN (Elsevier Science, 1974).
- G. I. Kresin and V. G. Maz’ya, Sharp Real-Part Theorems: A Unified Approach (Springer, 2007).
- J. Anderson and H. Witting, Physica 74, 466 (1974).
- P. Romatschke, Eur. Phys. J. C 76, 352 (2016), arXiv:1512.02641 .
- W. Florkowski and R. Ryblewski, Phys. Rev. C 83, 034907 (2011), arXiv:1007.0130 .
- M. Martinez and M. Strickland, Nucl. Phys. A 848, 183 (2010), arXiv:1007.0889 .
- P. Kovtun, JHEP 10, 034 (2019), arXiv:1907.08191 .
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