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

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arxiv 2208.10502 v1 pith:VSBRT7UW submitted 2022-08-22 hep-th cond-mat.str-elnucl-th

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

classification hep-th cond-mat.str-elnucl-th
keywords coefficientsthermodynamictransportlargetheoryfieldlimitinteracting
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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    Authors derive new Kubo formulae for transport coefficients by analyzing analytic structures of stress-energy response functions in second- and third-order hydrodynamics.