Discrete model of Yang-Mills equations in Minkowski space

Volodymyr Sushch

Discrete model of Yang-Mills equations in Minkowski space

Authors

Volodymyr Sushch Technical University of Koszalin Sniadeckich 2, 75-453 Koszalin, Poland.

Keywords:

Yang-Mills equations, Gauge invariance, Difference equation classical field theory, Difference equation

Abstract

Using methods of differential geometry, a discrete analog of the Yang-Mills equations in Minkowski space is constructed. The gauge transformation law in a discrete formulation is given and gauge invariance of discrete Yang-Mills equations is studied. Difference self-dual and anti-self-dual equations with respect to the Lorentz metric are presented.