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

TL;DR

This paper calculates all second-order thermodynamic transport coefficients for an interacting large N scalar field theory directly from quantum field theory, expressing results analytically in terms of in-medium mass and Bessel functions.

Contribution

It provides a novel method to determine all thermodynamic transport coefficients in large N theories analytically, applicable to a broad class of solvable models.

Findings

All second-order coefficients expressed analytically in large N limit.

Results valid for any coupling value.

Method potentially applicable to gauge theories.

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.