Perturbation Theory with a Variational Basis: the Generalized Gaussian Effective Potential

Details Perturbation Theory with a Variational Basis: the Generalized Gaussian Effective Potential Perturbation Theory with a Variational Basis: the Generalized Gaussian Effective Potential

1996-07-18

arxiv.org/abs/hep-th/9607156v1

Phys.Rev. D55 (1997) 4967-4989

Physics

High Energy Physics

High Energy Physics - Theory

RevTex, 49 pages, 16 eps figures

Scientific paper

10.1103/PhysRevD.55.4967

The perturbation theory with a variational basis is constructed and analyzed.The generalized Gaussian effective potential is introduced and evaluated up to the second order for selfinteracting scalar fields in one and two spatial dimensions. The problem of the renormalization of the mass is discussed in details. Thermal corrections are incorporated. The comparison between the finite temperature generalized Gaussian effective potential and the finite temperature effective potential is critically analyzed. The phenomenon of the restoration at high temperature of the symmetry broken at zero temperature is discussed.

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