Dirac-Kaehler fermion with noncommutative differential forms on a lattice

Details Dirac-Kaehler fermion with noncommutative differential forms on a lattice Dirac-Kaehler fermion with noncommutative differential forms on a lattice

2003-09-17

arxiv.org/abs/hep-lat/0309120v1

Nucl.Phys.Proc.Suppl.129:877-879,2004

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages, Lattice2003(Theoretical Development)

Scientific paper

10.1016/S0920-5632(03)02740-3

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-K\"ahler fermion on the lattice.

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