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Determining all thermodynamic transport coefficients for an interacting large N quantum field theory

High Energy Physics - Theory 2023-02-01 v1 Strongly Correlated Electrons Nuclear Theory

Abstract

Thermodynamic transport coefficients can be calculated directly from quantum field theory without requiring analytic continuation to real time. We determine all second-order thermodynamic transport coefficients for the uncharged N-component massless (critical) scalar field theory with quartic interaction in the large N limit, for any value of the coupling. We find that in the large N limit, all thermodynamic transport coefficients for the interacting theory can be expressed analytically in terms of the in-medium mass and sums over modified Bessel functions. We expect our technique to allow a similar determination of all thermodynamic transport coefficients for all theories that are solvable in the large N limit, including certain gauge theories.

Keywords

Cite

@article{arxiv.2208.10502,
  title  = {Determining all thermodynamic transport coefficients for an interacting large N quantum field theory},
  author = {Max Weiner and Paul Romatschke},
  journal= {arXiv preprint arXiv:2208.10502},
  year   = {2023}
}

Comments

19 pages, 3 figures