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Dirac-Kahler fermion with noncommutative differential forms on a lattice

✍ Scribed by I. Kanamori; N. Kawamoto


Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
263 KB
Volume
129-130
Category
Article
ISSN
0920-5632

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✦ Synopsis


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-Kahler fermion on the lattice.