paper

Dirac-Kaehler fermion with noncommutative differential forms on a lattice

arXiv:hep-lat/0309120 · doi:10.1016/S0920-5632(03)02740-3

Abstract

Noncommutativity between a differential form and a function allows us to define differential operator satisfying Leibniz's rule on a lattice. We propose a new associative Clifford product defined on the lattice by introducing the noncommutative differential forms. We show that this Clifford product naturally leads to the Dirac-Kähler fermion on the lattice.

3 pages, Lattice2003(Theoretical Development)

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