Chiral properties of discrete Joyce and Hestenes equations

Abstract

This paper concerns the question of how chirality is realized for discrete counterparts of the Dirac-Kähler equation in the Hestenes and Joyce forms. It is shown that left and right chiral states for these discrete equations can be described with the aid of some projectors on a space of discrete forms. The proposed discrete model admits a chiral symmetry. We construct discrete analogues of spin operators, describe spin eigenstates for a discrete Joyce equation, and also discuss chirality.

14 pages, conference paper

References in corpus (2)

• The chiral and flavour projection of Dirac-Kahler fermions in the geometric discretization
• Discrete Dirac-Kähler equation and its formulation in algebraic form