Thermal Green's Functions from Quantum Mechanical Path Integrals II: Inclusion of Fermions

Details Thermal Green's Functions from Quantum Mechanical Path Integrals II: Inclusion of Fermions Thermal Green's Functions from Quantum Mechanical Path Integrals II: Inclusion of Fermions

1993-06-28

arxiv.org/abs/hep-th/9306148v1

Phys.Rev. D49 (1994) 1047-1053

Physics

High Energy Physics

High Energy Physics - Theory

12 pp, requires REVTEX 3.0, BI-TP 93/25

Scientific paper

10.1103/PhysRevD.49.1047

In a previous paper we have shown how, for bosonic fields, the generating functional in both relativistic quantum field theory and thermal field theory can be evaluated by use of a standard quantum mechanical path integral. In this paper we extend this method to include fermionic fields. A particular problem is posed by Green's functions with external fermionic lines, where the different boundary conditions of bosons and fermions in imaginary time have to be accommodated within one path integral expression. The general procedure is worked out in the example of scalar and spinor self-energies in a simple model with a Yukawa coupling of a scalar to a Majorana spinor.

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