A discrete model of the Dirac-Kähler equation

  title={A discrete model of the Dirac-K{\"a}hler equation},
  author={Volodymyr Sushch},
  journal={Reports on Mathematical Physics},
  • Volodymyr Sushch
  • Published 4 July 2013
  • Mathematics, Physics
  • Reports on Mathematical Physics
We construct a new discrete analogue of the Dirac–Kahler equation in which some key geometric aspects of the continuum counterpart are captured. We describe a discrete Dirac–Kahler 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 analogue of gauge transformations for the massless discrete Dirac–Kahler equations. 
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