A discrete model of the Dirac-K\"{a}hler equation
Mathematical Physics
2014-12-01 v2 Analysis of PDEs
math.MP
Abstract
We construct a new discrete analog of the Dirac-K\"{a}hler equation in which some key geometric aspects of the continuum counterpart are captured. We describe a discrete Dirac-K\"{a}hler equation in the intrinsic notation as a set of difference equations and prove several statements about its decomposition into difference equations of Duffin type. We study an analog of gauge transformations for the massless discrete Dirac-K\"{a}hler equations.
Keywords
Cite
@article{arxiv.1307.1220,
title = {A discrete model of the Dirac-K\"{a}hler equation},
author = {Volodymyr Sushch},
journal= {arXiv preprint arXiv:1307.1220},
year = {2014}
}
Comments
19 pages; added references; to appear in Rept. Math. Phys