# Distributing the chiral and flavour components of Dirac-Kahler
fermions across multiple lattices
**Source**: https://www.maths.tcd.ie/report_series/abstracts/tcdm0509.html
**Parent**: https://www.maths.tcd.ie/research/papers/
**Distributing the chiral and flavour components of Dirac-Kahler
fermions across multiple lattices**
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 additional
lattices so that, on each lattice, there is a single field of definite
chirality. Within this framework, we define a non-compact Abelian gauge
theory.