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The equations of motion for a classical color particle in background non-Abelian bosonic and fermionic fields

Авторы: Markov Yu.A., Markova M.A., Shishmarev A.A.

Журнал: Journal of Physics G-Nuclear and Particle Physics

Том: 37

Номер: 10

Год: 2010

Отчётный год: 2010


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Аннотация: 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 background Grassmann 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. Employing 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 found that these quantities, by a suitable choice of parameters, exactly reproduce additional currents and sources previously obtained in Markov and Markova (2007 Nucl. Phys. A 784 443) on the basis of heuristic considerations.

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