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Pressure of the Non-equilibrium O(N) Phi^{4} Theory in the Large N Limit

P. Jizba·E. S. Tututi
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Abstract

We calculate the off-equilibrium hydrostatic pressure for the O(N) Phi^{4} theory to the leading order in 1/N. The present paper, the first of a series, concentrates on the calculation of pressure in the non-equilibrium but translationally invariant medium. The Jaynes-Gibbs principle of maximal entropy is used to introduce the relevant density matrix which is then directly implemented into dynamical equations through generalised Kubo-Martin-Schwinger (KMS) conditions. We show that in the large N limit use of Ward identities enables the pressure to be expressed in terms of two point Green's functions. These satisfy the Kadanoff-Baym equations which are exactly solvable, and we explicitly calculate the pressure for three illustrative choices of ρ.

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P. Jizba, E. S. Tututi. 1998-11-28. Pressure of the Non-equilibrium O(N) Phi^{4} Theory in the Large N Limit. https://doi.org/10.1103/physrevd.60.105013

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