On the chirality of a discrete Dirac-K\"ahler equation

  title={On the chirality of a discrete Dirac-K\"ahler equation},
  author={Volodymyr Sushch},
  journal={arXiv: Mathematical Physics},
  • Volodymyr Sushch
  • Published 27 November 2014
  • Mathematics, Physics
  • arXiv: Mathematical Physics
We discuss a discrete analogue of the Dirac-Kahler equation in which chiral properties of the continual counterpart are captured. We pay special attention to a discrete Hodge star operator. To build one a combinatorial construction of double complex is used. We describe discrete exterior calculus operations on a double comlex and obtain the discrete Dirac-Kahler equation using these tools. Self-dual and anti-self-dual discrete inhomogeneous forms are presented. The chiral invariance of the… Expand
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