8 research outputs found
Discrete versions of some Dirac type equations and plane wave solutions
A discrete version of the plane wave solution to some discrete Dirac type
equations in the spacetime algebra is established. The conditions under which a
discrete analogue of the plane wave solution satisfies the discrete Hestenes
equation are briefly discussed.Comment: 12 pages. arXiv admin note: text overlap with arXiv:1609.0459
Chiral properties of discrete Joyce and Hestenes equations
This paper concerns the question of how chirality is realized for discrete
counterparts of the Dirac-K\"{a}hler 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.Comment: 14 pages, conference pape