paper

Discrete Physics and the Dirac Equation

arXiv:hep-th/9603202 · doi:10.1016/0375-9601(96)00436-7

Abstract

We rewrite the 1+1 Dirac equation in light cone coordinates in two significant forms, and solve them exactly using the classical calculus of finite differences. The complex form yields ``Feynman's Checkerboard''---a weighted sum over lattice paths. The rational, real form can also be interpreted in terms of bit-strings.

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