Byspinors generated by Dirac matrix field in Riemannian space

M. V. Gorbatenko

Federal State Unitary Enterprise 'Russian Federal Nuclear Center — All-Russian Research Institute of Experimental Physics'

Abstract: A scheme is considered in which bispinors are nothing more than a convenient language for describing information contained in a field of Dirac matrices. The scheme differs fundamentally from the tetrad method of introducing bispinors in Riemannian space. The scheme leads to a nontrivial classification of spin 1/2 particles corresponding to near-vacuum fields of Dirac matrices. A possible connection between the obtained results and various attempts to unify interactions is discussed.

Received: 20.07.1994

 English version: Theoretical and Mathematical Physics, 1995, 103:1, 374–380

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