Discrete Dirac-K\"ahler equation and its formulation in algebraic form

Abstract

A relationship between the discrete Dirac-K\"ahler equation and discrete analogues of some Dirac type equations in the geometric spacetime algebra is discussed. We show that a solution of the discrete Dirac-K\"ahler equation can be represented as the sum and difference of solutions of discrete Dirac type equations with the corresponding sign of the mass term.