Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-01-09
J.Phys.G37 (2010) 105001(25)
Physics
High Energy Physics
High Energy Physics - Theory
32 pages, 1 eps figure; few typos corrected, version to appear in J.Phys.G
Scientific paper
10.1088/0954-3899/37/10/105001
Based on the most general principles of reality, gauge and reparametrization invariance, a problem of constructing the action describing dynamics of a classical color-charged particle interacting with background non-Abelian gauge and fermion fields is considered. The cases of the linear and quadratic dependence of a Lagrangian on a background fermion field are discussed. It is shown that in both cases in general there exists an infinite number of interaction terms, which should be included in the Lagrangian in question. From a simple iteration scheme, examples of the construction of the first few gauge-covariant currents and sources induced by a moving particle with non-Abelian charge are given. It is shown that these quantities, by a suitable choice of parameters, exactly reproduce additional currents and sources previously obtained in [Yu.A. Markov, M.A. Markova, Nucl. Phys. A 784 (2007) 443] on the basis of heuristic considerations.
Markov Yuri A.
Markova Margaret A.
Shishmarev Alexey A.
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