Green’s Function for Dirac Particle in a Non-Abelian Field: A Path Integral Approach
Author(s) -
Sami Boudieb,
L. Chétouani
Publication year - 2013
Publication title -
isrn high energy physics
Language(s) - English
Resource type - Journals
eISSN - 2090-7427
pISSN - 2090-7419
DOI - 10.1155/2013/751963
Subject(s) - dirac (video compression format) , path integral formulation , function (biology) , field (mathematics) , physics , abelian group , dirac equation , green's function , mathematical physics , mathematics , quantum electrodynamics , mathematical analysis , quantum mechanics , pure mathematics , evolutionary biology , neutrino , quantum , biology
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.
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