# DIRAC–KÄHLER FERMION FROM CLIFFORD PRODUCT WITH NONCOMMUTATIVE DIFFERENTIAL FORM ON A LATTICE

@article{Kanamori2004DIRACKHLERFF, title={DIRAC–K{\"A}HLER FERMION FROM CLIFFORD PRODUCT WITH NONCOMMUTATIVE DIFFERENTIAL FORM ON A LATTICE}, author={Issaku Kanamori and Noboru Kawamoto}, journal={International Journal of Modern Physics A}, year={2004}, volume={19}, pages={695-736} }

We formulate Dirac–Kahler fermion action by introducing a new Clifford product with noncommutative differential form on a lattice. Hermiticity of the Dirac–Kahler 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–Kahler fermion formulated by the Clifford product. The lattice QCD action with Dirac–Kahler matter fermion is also derived via an inner product defined…

## 32 Citations

Lattice calculations on the spectrum of Dirac and Dirac-Kähler operators

- Mathematics, Physics
- 2008

We use a lattice formulation to study the spectra of the Dirac and the Dirac–Kahler operators on the 2-sphere. This lattice formulation uses differentiation matrices which yield exact values for the…

Note on Dirac–Kähler massless fields

- Physics
- 2009

We obtain the canonical and symmetrical Belinfante energy-momentum tensors of Dirac–Kähler’s fields. It is shown that the traces of the energy-momentum tensors are not equal to zero. We find the…

Distributing the chiral and flavor components of Dirac-Kahler fermions across multiple lattices.

- Computer Science
- 2005

We use a specific implementation of discrete differential geometry to describe Dirac-Kahler fermions in such a way that we can separate their chiral and flavour components. The formulation introduces…

The chiral and flavour projection of Dirac-Kahler fermions in the geometric discretization

- Physics
- 2008

It is shown that an exact chiral symmetry can be described for Dirac-Kahler fermions using the two complexes of the geometric discretization. This principle is extended to describe exact flavour…

A conformal group approach to the Dirac–Kähler system on the lattice

- Mathematics
- 2016

Starting from the representation of the (n − 1) + n − dimensional Lorentz pseudo-sphere on the projective space PRn,n, we propose a method to derive a class of solutions underlying to a Dirac–Kahler…

A conformal group approach to the Dirac–Kähler system on the lattice

- Mathematics
- 2017

Starting from the representation of the (n − 1) + n − dimensional Lorentz pseudo‐sphere on the projective space PRn,n , we propose a method to derive a class of solutions underlying to a Dirac–Kähler…

Formulation of Supersymmetry on a Lattice as a Representation of a Deformed Superalgebra

- Mathematics
- 2010

The lattice superalgebra of the link approach is shown to satisfy a Hopf algebraic supersymmetry where the difference operators are introduced as momentum operators. The violation of the Leibniz rule…

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