Fermion Systems in Discrete Space-Time Exemplifying the Spontaneous Generation of a Causal Structure
Mathematical Physics
2014-11-18 v3 General Relativity and Quantum Cosmology
High Energy Physics - Theory
math.MP
Abstract
As toy models for space-time on the Planck scale, we consider examples of fermion systems in discrete space-time which are composed of one or two particles defined on two up to nine space-time points. We study the self-organization of the particles as described by a variational principle both analytically and numerically. We find an effect of spontaneous symmetry breaking which leads to the emergence of a discrete causal structure.
Keywords
Cite
@article{arxiv.0710.4420,
title = {Fermion Systems in Discrete Space-Time Exemplifying the Spontaneous Generation of a Causal Structure},
author = {Alexander Diethert and Felix Finster and Daniela Schiefeneder},
journal= {arXiv preprint arXiv:0710.4420},
year = {2014}
}
Comments
37 pages, LaTeX, 12 figures, minor changes (published version)