The Dirac-Kähler equation and fermions on the lattice
Abstract
The geometrical description of spinor fields by E. Kähler is used to formulate a consistent lattice approximation of fermions. The relation to free simple Dirac fields as well as to Susskind's description of lattice fermions is clarified. The first steps towards a quantized interacting theory are given. The correspondence between the calculus of differential forms and concepts of algebraic topology is shown to be a useful method for a completely analogous treatment of the problems in the continuum and on the lattice.
- Publication:
-
Zeitschrift fur Physik C Particles and Fields
- Pub Date:
- December 1982
- DOI:
- 10.1007/BF01614426
- Bibcode:
- 1982ZPhyC..15..343B