Table of Contents
ISRN High Energy Physics
Volume 2013 (2013), Article ID 751963, 15 pages
Research Article

Green’s Function for Dirac Particle in a Non-Abelian Field: A Path Integral Approach

Département de Physique, Faculté des Sciences Exactes, Université Constantine 1, Constantine, Algeria

Received 16 April 2013; Accepted 8 May 2013

Academic Editors: G. Bonvicini, F.-H. Liu, L. Marek-Crnjac, and O. A. Sampayo

Copyright © 2013 Sami Boudieb and Lyazid Chetouani. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The Green function for a Dirac particle moving in a non-Abelian field and having a particular form is exactly determined by the path integral approach. The wave functions were deduced from the residues of Green’s function. It is shown that the classical paths contributed mainly to the determination of the Green function.