Variational approximations for correlation functions in quantum field theories

Details Variational approximations for correlation functions in quantum field theories Variational approximations for correlation functions in quantum field theories

1999-09-29

arxiv.org/abs/hep-th/9909211v1

Annals Phys. 278 (1999) 202-264

Physics

High Energy Physics

High Energy Physics - Theory

60 pages, Latex, to be published in Annals of Physics

Scientific paper

10.1006/aphy.1999.5978

Applying the time-dependent variational principle of Balian and V\'en\'eroni, we derive variational approximations for multi-time correlation functions in $\Phi^4$ field theory. We assume first that the initial state is given and characterized by a density operator equal to a Gaussian density matrix. Then, we study the more realistic situation where only a few expectation values are given at the initial time and we perform an optimization with respect to the initial state. We calculate explicitly the two-time correlation functions with two and four field operators at equilibrium in the symmetric phase.

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