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Spin Particle with a Color Charge in a Color Field in Riemann-Cartan Space

O. V. Babourova·A. S. Vshivtsev·V. P. Myasnikov·B. N. Frolov
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Abstract

On the basis of the method of Cartan exterior forms and extended Lie derivatives, a hydrodynamic equation of the Euler type that describes a perfect spin fluid with an intrinsic color charge in an external non-Abelian color field in Riemann-Cartan space is derived from the energy-momentum quasiconservation law. This equation is used to obtain a self-consistent set of equations of motion for a classical test particle with a spin and a color charge in a color field combined with a gravitational field characterized by curvature and torsion. The resulting equations generalize the Wong equation, which describes the motion of a particle with an isospin, and the Tamm-Good and Bargmann-Michel-Telegdi equations, which describe the evolution of a charged-particle spin in an electromagnetic field.

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O. V. Babourova, A. S. Vshivtsev, V. P. Myasnikov, B. N. Frolov. 2004-07-17. Spin Particle with a Color Charge in a Color Field in Riemann-Cartan Space. https://arxiv.org/abs/hep-th/0407153

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