From Discrete Space-Time to Minkowski Space: Basic Mechanisms, Methods and Perspectives
Abstract
This survey article reviews recent results on fermion system in discrete space-time and corresponding systems in Minkowski space. After a basic introduction to the discrete setting, we explain a mechanism of spontaneous symmetry breaking which leads to the emergence of a discrete causal structure. As methods to study the transition between discrete space-time and Minkowski space, we describe a lattice model for a static and isotropic space-time, outline the analysis of regularization tails of vacuum Dirac sea configurations, and introduce a Lorentz invariant action for the masses of the Dirac seas. We mention the method of the continuum limit, which allows to analyze interacting systems. Open problems are discussed.
Keywords
Cite
@article{arxiv.0712.0685,
title = {From Discrete Space-Time to Minkowski Space: Basic Mechanisms, Methods and Perspectives},
author = {Felix Finster},
journal= {arXiv preprint arXiv:0712.0685},
year = {2015}
}
Comments
25 pages, LaTeX, 6 figures, minor improvements (published version)