Thermal Green's Functions from Quantum Mechanical Path Integrals

Details Thermal Green's Functions from Quantum Mechanical Path Integrals Thermal Green's Functions from Quantum Mechanical Path Integrals

1992-11-17

arxiv.org/abs/hep-th/9211076v3

Phys.Rev.D47:5487-5493,1993

Physics

High Energy Physics

High Energy Physics - Theory

13 p., uses REVTEX (updated to REVTEX v3.0; minor corrections and extensions) TUW-92-18

Scientific paper

10.1103/PhysRevD.47.5487

In this paper it is shown how the generating functional for Green's functions in relativistic quantum field theory and in thermal field theory can be evaluated in terms of a standard quantum mechanical path integral. With this calculational approach one avoids the loop-momentum integrals usually encountered in Feynman perturbation theory, although with thermal Green's functions, a discrete sum (over the winding numbers of paths with respect to the circular imaginary time) must be computed. The high-temperature expansion of this sum can be performed for all Green's functions at the same time, and is particularly simple for the static case. The procedure is illustrated by evaluating the two-point function to one-loop order in a $\phi^3_6$ model.

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