Variational Multi-Time Green's Functions for Nonequilibrium Quantum Fields

Details Variational Multi-Time Green's Functions for Nonequilibrium Quantum Fields Variational Multi-Time Green's Functions for Nonequilibrium Quantum Fields

1997-10-07

arxiv.org/abs/hep-th/9710055v1

Annals Phys. 269 (1998) 107-128

Physics

High Energy Physics

High Energy Physics - Theory

20 pages

Scientific paper

10.1006/aphy.1998.5844

The time-dependent variational principle proposed by Balian and Veneroni is used to provide the best approximation to the generating functional for multi-time Green's functions of a set of (bosonic) observables $Q_{\mu)$. By suitably restricting the trial spaces, the computation of the two-time Green's function, obtained by a second order expansion in the sources, is considerably simplified. This leads to a tractable formalism suited to quantum fields out of equilibrium. We propose an illustration on the finite temperature ${\bf\Phi^4}$ theory in curved space and coupled to gravity.

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