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

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.

11 pages, REVTeX, 5 figures

References in corpus (2)

• Non-Equilibrium Bose-Einstein Condensates, Dynamical Scaling and Symmetric Evolution in large N Phi^4 theory
• On the choice of initial states in nonequilibrium dynamics

Cited by in corpus (2)

• The world according to Renyi: Thermodynamics of multifractal systems
• Hydrostatic Pressure of the O(N) ${\varphi }^4$ Theory in the Large N Limit