A Discrete Dirac–Kähler Equation Using a Geometric Discretisation Scheme

@article{Sushch2018ADD,
  title={A Discrete Dirac–K{\"a}hler Equation Using a Geometric Discretisation Scheme},
  author={Volodymyr Sushch},
  journal={Advances in Applied Clifford Algebras},
  year={2018},
  volume={28},
  pages={1-17}
}
  • Volodymyr Sushch
  • Published 31 January 2018
  • Mathematics, Physics
  • Advances in Applied Clifford Algebras
Discrete models of the Dirac–Kähler equation and the Dirac equation in the Hestenes form are discussed. A discrete version of the plane wave solutions to a discrete analogue of the Hestenes equation is established. 
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This paper concerns the question of how chirality is realized for discrete counterparts of the Dirac-K\"{a}hler equation in the Hestenes and Joyce forms. It is shown that left and right chiral statesExpand

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