Discrete model of Yang-Mills equations in Minkowski space

2004/10/22 by Volodymyr Sushch
Physics and Astronomy · Mathematics · #math-ph #math.CO #math.MP #msc:81T13 #msc:39A12

paper · pdf

published as Cubo A Mathematical Journal, Vol. 6, No. 2 (2004), pp. 35-50 · 13 pages

arxiv created 2004/10/22 · arxiv updated 2009/12/01

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.

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