Zeitschrift für Physik C Particles and Fields

, Volume 15, Issue 4, pp 343–365

The Dirac-Kähler equation and fermions on the lattice

  • P. Becher
  • H. Joos

DOI: 10.1007/BF01614426

Cite this article as:
Becher, P. & Joos, H. Z. Phys. C - Particles and Fields (1982) 15: 343. doi:10.1007/BF01614426


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.

Copyright information

© Springer-Verlag 1982

Authors and Affiliations

  • P. Becher
    • 1
  • H. Joos
    • 2
  1. 1.Physikalisches Institut der UniversitätWürzburgFederal Republic of Germany
  2. 2.Deutsches Elektronen-Synchrotron DESYHamburgFederal Republic of Germany