Gauge fields of the matrix Dirac equation
Mathematical Physics
2007-05-23 v1 math.MP
Quantum Algebra
Abstract
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.
Cite
@article{arxiv.math-ph/9811021,
title = {Gauge fields of the matrix Dirac equation},
author = {N. G. Marchuk},
journal= {arXiv preprint arXiv:math-ph/9811021},
year = {2007}
}
Comments
9 pages, Latex