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

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.

preprint2008arXivOpen access
Alexander DiethertFelix FinsterDaniela Schiefeneder
math-phmath.MPgr-qchep-th
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Alexander DiethertFelix FinsterDaniela Schiefeneder

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