English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

A generalization of the Lagrangian introduced earlier in [2011 {\it J. Phys.G} ${\bf 37}$ 105001] for a classical color spinning particle interacting withbackground non-Abelian gauge and fermion fields for purpose of considering achange in time of the spin particle degree of freedom, is suggested. In thecase under consideration the spin degree of freedom is described by a commuting$c$-number Dirac spinor $\psi_{\alpha}$. A mapping of this spinor into newvariables: anticommuting pseudovector $\xi_{\mu}$ and pseudoscalar $\xi_5$commonly used in a description of the spin degree of freedom of a massivespin-1/2 particle, is constructed. An analysis of one-to-one correspondence ofthis mapping is given. It is shown that for the one-to-one correspondence it isnecessary to extend a class of real tensor quantities including besides$\xi_{\mu}$ and $\xi_5$, also odd vector $\hat{\xi}_{\mu}$, scalar$\hat{\xi}_5$, and (dual) pseudotensor $^{\ast}\zeta_{\mu \nu}$. In addition,it is shown that it is necessary either to restrict a class of the initialspinor $\psi_{\alpha}$ to Majorana one or to double the number of variables inthe tensor aggregate $(\xi_{\mu},\,\xi_5,, ^{\ast}\zeta_{\mu\nu},\,\hat{\xi}_{\mu},\,\hat{\xi}_5)$. Various special cases of the desiredmapping are considered. In particular, a connection with the Lagrangiansuggested by A.M. Polyakov, is studied. It is also offered the way of obtainingthe supersymmetric Lagrangian in terms of the even $\psi_{\alpha}$ and odd$\theta_{\alpha}$ spinors. The map of the Lagrandian leads to local SUSYLagrangian in terms of $\xi_{\mu}$ and $\xi_5$.

Equations of motion for a classical color particle in background non-Abelian fermionic and bosonic fields: Inclusion of pseudoclassical spin