1307.1220 (Volodymyr Sushch)

A discrete model of the Dirac-Kähler equation    [PDF]

Volodymyr Sushch

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.

View original: http://arxiv.org/abs/1307.1220