Gauge fields of the matrix Dirac equation

Details Gauge fields of the matrix Dirac equation Gauge fields of the matrix Dirac equation

1998-11-23

arxiv.org/abs/math-ph/9811021v1

Nuovo Cim. B113 (1998) 1287-1295

Physics

Mathematical Physics

9 pages, Latex

Scientific paper

We introduce an equation named matrix Dirac equation which can be considered as a generalization of Dirac equation for an electron. The liaison between matrix Dirac equation and standard Dirac equation is discussed. We write a lagrangian from which matrix Dirac equation can be derived. This lagrangian is invariant under global unitary transformations of variables. The requirement of a local (gauge) invariance of lagrangian leads us to lagrangian with gauge fields.

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