Table of Contents
ISRN High Energy Physics
Volume 2014, Article ID 375695, 9 pages
Research Article

Dirac Particle in External Non-Abelian Gauge Field

Département de Physique, Faculté des Sciences Exactes, Université Constantine 1, 25000 Constantine, Algeria

Received 2 September 2013; Accepted 31 October 2013; Published 22 January 2014

Academic Editors: D. Chakrabarti, A. Koshelev, and B. Lucini

Copyright © 2014 Bilel Hamil 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 of a Dirac particle in interaction with a non-Abelian SU(N) gauge field exactly and analytically determined via the path integral formalism by using the approach so-called “global projection.” The essential steps in the calculation are the choice of a convenient gauge (Lorentz gauge) and the introduction of two constraints, (related to space) and Grassmannian (related to Dirac matrices). Furthermore, it is shown that certain selected equations obtained during the integrations can also be classically derived.