Discrete Differential Geometry and Lattice Field Theory
arXiv:hep-lat/0312045
Abstract
We develope a difference calculus analogous to the differential geometry by translating the forms and exterior derivatives to similar expressions with difference operators, and apply the results to fields theory on the lattice [Ref. 1]. Our approach has the advantage with respect to other attempts [Ref. 2-6] that the Lorentz invariance is automatically preserved as it can be seen explicitely in the Maxwell, Klein-Gordon and Dirac equations on the lattice.
Proceedings: A. W. Sissakian, G. S. Pogosian eds. VII International Conference on Symmetry Methods in Physics (J.I.N.R. Dubna 1996) pp. 368-377. LaTeX, 11 pages (late submission)