The Jaynes-Gibbs principle of maximal entropy and the non-equilibrium propagators of the O(N) phi^4 theory at large N

Details The Jaynes-Gibbs principle of maximal entropy and the non-equilibrium propagators of the O(N) phi^4 theory at large N The Jaynes-Gibbs principle of maximal entropy and the non-equilibrium propagators of the O(N) phi^4 theory at large N

1998-09-15

arxiv.org/abs/hep-th/9809110v2

Physics

High Energy Physics

High Energy Physics - Theory

4 pages, REVTeX, no figures, references added, minor corrections in text

Scientific paper

We present a novel procedure for calculating non-equilibrium two-point Green's functions in the $O(N) \phi^{4}$ theory at large $N$. The non-equilibrium density matrix $\rho$ is constructed via the Jaynes-Gibbs principle of maximal entropy and it is directly implemented into the Dyson-Schwinger equations through initial value conditions. In the large $N$ limit we perform an explicit evaluation of two-point Green's functions for two illustrative choices of $\rho$.

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