DIRAC–KÄHLER FERMION FROM CLIFFORD PRODUCT WITH NONCOMMUTATIVE DIFFERENTIAL FORM ON A LATTICE

@article{Kanamori2004DIRACKHLERFF,
  title={DIRAC–K{\"A}HLER FERMION FROM CLIFFORD PRODUCT WITH NONCOMMUTATIVE DIFFERENTIAL FORM ON A LATTICE},
  author={Issaku Kanamori and Noboru Kawamoto},
  journal={International Journal of Modern Physics A},
  year={2004},
  volume={19},
  pages={695-736}
}
We formulate Dirac–Kahler fermion action by introducing a new Clifford product with noncommutative differential form on a lattice. Hermiticity of the Dirac–Kahler action requires to choose the lattice structure having both orientabilities on a link. The Kogut–Susskind fermion and the staggered fermion actions are derived directly from the Dirac–Kahler fermion formulated by the Clifford product. The lattice QCD action with Dirac–Kahler matter fermion is also derived via an inner product defined… 
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