Affiliation:
1. NWF I – Mathematik, Universität Regensburg, 93040 Regensburg, Germany
Abstract
As toy models for space–time at 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.
Publisher
World Scientific Pub Co Pte Lt
Subject
Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics
Cited by
3 articles.
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1. The Continuum Limit of Causal Fermion Systems;Fundamental Theories of Physics;2016
2. On the Support of Minimizers of Causal Variational Principles;Archive for Rational Mechanics and Analysis;2013-05-30
3. Causal variational principles on measure spaces;Journal für die reine und angewandte Mathematik (Crelles Journal);2010-01