This survey article reviews recent results on fermion systems 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. © 2009 Birkhäuser Verlag Basel/Switzerland.
CITATION STYLE
Finster, F. (2009). From discrete space-time to Minkowski space: Basic mechanisms, methods and perspectives. In Quantum Field Theory: Competitive Models (pp. 235–259). Birkhauser Verlag AG. https://doi.org/10.1007/978-3-7643-8736-5_14
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