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首页> 外文期刊>Journal of Physics, G. Nuclear and Particle Physics: An Institute of Physics Journal >The equations of motion for a classical color particle in background non-Abelian bosonic and fermionic fields
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The equations of motion for a classical color particle in background non-Abelian bosonic and fermionic fields

机译：背景非阿贝尔玻色子和费米子场中经典彩色粒子的运动方程

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摘要

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 interactingwithbackground 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.
机译：基于现实，规范和重新参数化不变性的最一般原理，考虑了构造描述与背景非阿贝尔规范和费米子场相互作用的经典带电粒子动力学的动作的问题。讨论了拉格朗日对背景格拉斯曼费米子场的线性和二次依赖的情况。结果表明，在两种情况下，通常都存在无限数量的相互作用项，应将其包括在所讨论的拉格朗日中。使用简单的迭代方案，给出了由具有非阿贝尔电荷的运动粒子感应产生的前几个规范协变电流和源的构造示例。发现，通过适当选择参数，这些量精确地再现了以前基于启发式考虑在Markov和Markova（2007 Nucl.Phys.A 784 443）中获得的其他电流和源。

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