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Discrete model of Yang-Mills equations in Minkowski space. (English) Zbl 1081.81082
Summary: 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.

MSC:
81T13 Yang-Mills and other gauge theories in quantum field theory
39A12 Discrete version of topics in analysis
70S15 Yang-Mills and other gauge theories in mechanics of particles and systems
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