Abstract
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 projection and it is shown that this necessitates the introduction of a new operator and two new structures of complex. To describe simultaneous chiral and flavour projection, eight complexes are needed in all and it is shown that projection leaves a single flavour of chiral field on each.
| Original language | English |
|---|---|
| Pages (from-to) | 1-18 |
| Journal | International Journal of Geometric Methods in Modern Physics |
| Volume | 5 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published (in print/issue) - May 2008 |
Keywords
- geometric
- discretization
- fermions
- chiral
- dirac-kahler
- differential geometry
- flavour projection