Friday, July 5, 2013

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.
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