Representations of classical groups on the lattice and its application to the field theory on discrete space-time

Details Representations of classical groups on the lattice and its application to the field theory on discrete space-time Representations of classical groups on the lattice and its application to the field theory on discrete space-time

2003-12-29

arxiv.org/abs/hep-lat/0312042v2

Physics

High Energy Physics

High Energy Physics - Lattice

Proceedings: B. Gruber, ed. Symmetries in Science VI (Plenum, N. York 1993) pp. 437-454. TeX, 18 pages (late submission)

Scientific paper

We explore the mathematical consequences of the assumption of a discrete
space-time. The fundamental laws of physics have to be translated into the
language of discrete mathematics. We find integral transformations that leave
the lattice of any dimension invariant and apply these transformations to field
equations.

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