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

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

1998-11-27

arxiv.org/abs/hep-th/9811236v2

Phys.Rev.D60:105013,1999

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, REVTeX, 5 figures

Scientific paper

10.1103/PhysRevD.60.105013

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 \rho.

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