Fermion Systems in Discrete Space-Time
High Energy Physics - Theory
2007-10-27 v4 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.hep-th/0601140,
title = {Fermion Systems in Discrete Space-Time},
author = {Felix Finster},
journal= {arXiv preprint arXiv:hep-th/0601140},
year = {2007}
}
Comments
8 pages, LaTeX, few typos corrected (published version)