Fermion Systems in Discrete Space-Time

Details Fermion Systems in Discrete Space-Time Fermion Systems in Discrete Space-Time

2006-01-19

arxiv.org/abs/hep-th/0601140v4

J. Phys.: Conf. Ser. 67 (2007) 012048

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, LaTeX, few typos corrected (published version)

Scientific paper

10.1088/1742-6596/67/1/012048

Fermion systems in discrete space-time are introduced as a model for physics on the Planck scale. We set up a variational principle which describes a non-local interaction of all fermions. This variational principle is symmetric under permutations of the discrete space-time points. We explain how for minimizers of the variational principle, the fermions spontaneously break this permutation symmetry and induce on space-time a discrete causal structure.

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