Gaussian Wavefunctional Approach in Thermofield Dynamics

Details Gaussian Wavefunctional Approach in Thermofield Dynamics Gaussian Wavefunctional Approach in Thermofield Dynamics

1998-07-02

arxiv.org/abs/hep-th/9807025v3

J.Phys.A32:739-747,1999

Physics

High Energy Physics

High Energy Physics - Theory

the revised version of hep-th/9807025, with one equation being added, a few sentences rewritten, and some spelling mistakes co

Scientific paper

10.1088/0305-4470/32/5/006

The Gaussian wavefunctional approach is developed in thermofield dynamics. We manufacture thermal vacuum wavefunctional, its creation as well as annihilation operators,and accordingly thermo-particle excited states. For a (D+1)-dimensional scalar field system with an arbitrary potential whose Fourier representation exists in a sense of tempered distributions, we calculate the finite temperature Gaussian effective potential (FTGEP), one- and two-thermo-particle-state energies. The zero-temperature limit of each of them is just the corresponding result in quantum field theory, and the FTGEP can lead to the same one of each of some concrete models as calculated by the imaginary time Green function.

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