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Title: Thermal Green's functions from quantum-mechanical path integrals. II. Inclusion of fermions

Abstract

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.

Authors:
 [1];  [2]
  1. Department of Applied Mathematics, University of Western Ontario, London, Ontario, N6A5B7 (Canada)
  2. Fakultaet fuer Physik, Universitaet Bielefeld, D-33501 Bielefeld (Germany)
Publication Date:
OSTI Identifier:
5410410
Resource Type:
Journal Article
Journal Name:
Physical Review, D (Particles Fields); (United States)
Additional Journal Information:
Journal Volume: 49:2; Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; GREEN FUNCTION; QUANTUM MECHANICS; FERMIONS; FEYNMAN PATH INTEGRAL; BOSONS; BOUNDARY CONDITIONS; QUANTUM FIELD THEORY; SELF-ENERGY; YUKAWA POTENTIAL; ENERGY; FIELD THEORIES; FUNCTIONS; INTEGRALS; MECHANICS; NUCLEAR POTENTIAL; POTENTIALS; 662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)

Citation Formats

McKeon, D G.C., and Rebhan, A K. Thermal Green's functions from quantum-mechanical path integrals. II. Inclusion of fermions. United States: N. p., 1994. Web. doi:10.1103/PhysRevD.49.1047.
McKeon, D G.C., & Rebhan, A K. Thermal Green's functions from quantum-mechanical path integrals. II. Inclusion of fermions. United States. https://doi.org/10.1103/PhysRevD.49.1047
McKeon, D G.C., and Rebhan, A K. Sat . "Thermal Green's functions from quantum-mechanical path integrals. II. Inclusion of fermions". United States. https://doi.org/10.1103/PhysRevD.49.1047.
@article{osti_5410410,
title = {Thermal Green's functions from quantum-mechanical path integrals. II. Inclusion of fermions},
author = {McKeon, D G.C. and Rebhan, A K},
abstractNote = {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.},
doi = {10.1103/PhysRevD.49.1047},
url = {https://www.osti.gov/biblio/5410410}, journal = {Physical Review, D (Particles Fields); (United States)},
issn = {0556-2821},
number = ,
volume = 49:2,
place = {United States},
year = {1994},
month = {1}
}