Fermion Systems in Discrete Space-Time
arXiv:hep-th/0601140 · doi:10.1088/1742-6596/67/1/012048
Abstract
Fermion systems in discrete space-time are introduced as a model for physics on the Planck scale. We set up a variational principle which describes a non-local interaction of all fermions. This variational principle is symmetric under permutations of the discrete space-time points. We explain how for minimizers of the variational principle, the fermions spontaneously break this permutation symmetry and induce on space-time a discrete causal structure.
8 pages, LaTeX, few typos corrected (published version)