Discrete Differential Geometry and Lattice Field Theory

Details Discrete Differential Geometry and Lattice Field Theory Discrete Differential Geometry and Lattice Field Theory

2003-12-31

arxiv.org/abs/hep-lat/0312045v1

Physics

High Energy Physics

High Energy Physics - Lattice

Proceedings: A. W. Sissakian, G. S. Pogosian eds. VII International Conference on Symmetry Methods in Physics (J.I.N.R. Dubna

Scientific paper

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.

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