Dirac-Kähler Fermion from Clifford Product with Noncommutative Differential Form on a Lattice
نویسندگان
چکیده
We formulate Dirac-Kähler fermion action by introducing a new Clifford product with noncommutative differential form on a lattice. Hermiticity of the Dirac-Kähler 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-Kähler fermion formulated by the Clifford product. The lattice QCD action with Dirac-Kähler matter fermion is also derived via an inner product defined by the Clifford product. PACS code : 04.60.Nc, 11.15.Ha
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