Dirac-Kaehler Fermion from Clifford Product with Noncommutative Differential Form on a Lattice
Kanamori, Issaku ; Kawamoto, Noboru
arXiv, 0305094 / Harvested from arXiv
Text on arXiv
We formulate Dirac-Kaehler fermion action by introducing a new Clifford product with noncommutative differential form on a lattice. Hermiticity of the Dirac-Kaehler 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-Kaehler fermion formulated by the Clifford product. The lattice QCD action with Dirac-Kaehler matter fermion is also derived via an inner product defined by the Clifford product.
Publié le : 2003-05-12
Classification:  High Energy Physics - Theory,  High Energy Physics - Lattice,  Mathematical Physics 
@article{0305094,
     author = {Kanamori, Issaku and Kawamoto, Noboru},
     title = {Dirac-Kaehler Fermion from Clifford Product with Noncommutative
  Differential Form on a Lattice},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0305094}
}

Kanamori, Issaku; Kawamoto, Noboru. Dirac-Kaehler Fermion from Clifford Product with Noncommutative
  Differential Form on a Lattice. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0305094/