Fermion Systems in Discrete Space-Time Exemplifying the Spontaneous Generation of a Causal Structure

Details Fermion Systems in Discrete Space-Time Exemplifying the Spontaneous Generation of a Causal Structure Fermion Systems in Discrete Space-Time Exemplifying the Spontaneous Generation of a Causal Structure

2007-10-24

arxiv.org/abs/0710.4420v3

Int.J.Mod.Phys. A23 (2008) 4579-4620

Physics

Mathematical Physics

37 pages, LaTeX, 12 figures, minor changes (published version)

Scientific paper

10.1142/S0217751X08041426

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.

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