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Correspondence between classical and pseudoclassical descriptions of the spin degree of freedom of a relativistic particle in an external field

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

Журнал: Russian Physics Journal

Том: 55

Номер: 11

Год: 2013

Отчётный год: 2013

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Аннотация: A generalization of the Lagrangian description of a relativistic color charged spinning particle interacting with external non-Abelian gauge and fermion fields, previously introduced by the authors, is proposed which takes into account the time-varying spin degree of freedom of the particle. For the case under consideration, the degree of freedom is described by a classical commuting Dirac spinor psi(alpha) . This spinor has been mapped to new (anticommuting) variables: a pseudovector xi(mu) , a pseudoscalar xi(5), a pseudotensor (*)zeta(mu nu), a vector ,and a scalar . The first two of them are usually used in a pseudoclassical description of the spin degree of freedom of a massive spin 1/2 particle. The mapping has been examined for oneoneness. It has been shown that to attain one-oneness, it is necessary either to narrow the class of the initial spinor psi(alpha) to that of Majorana particles or to double the number of variables in the set of tensors (xi(mu) xi(5) (*)zeta(mu nu) ).

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