2010/01/31 by Yuri A. Markov, Yuri A Markov, Margaret A. Markova +3
Physics and Astronomy · #Action (physics) #Basis (linear algebra) #Charge (physics) #Equations of motion #Fermion #Gauge (firearms) #Gauge theory #High-Energy Particle Collisions Research #Lagrangian #Quadratic equation #Quantum Electrodynamics and Casimir Effect #Quantum and Classical Electrodynamics #hep-ph #hep-th
paper · pdf · doi:10.1088/0954-3899/37/10/105001
published as J.Phys.G37:105001,2010 · 32 pages, 1 eps figure; few typos corrected, version to appear in J.Phys.G
openalex publication_date 2010/07/26 · arxiv created 2010/08/13 · arxiv updated 2014/11/20 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.