Causal Fermion Systems: A Quantum Space-Time Emerging From an Action Principle

Felix Finster (), Andreas Grotz () and Daniela Schiefeneder ()
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Felix Finster: Universität Regensburg, Fakultät für Mathematik
Andreas Grotz: Universität Regensburg, Fakultät für Mathematik
Daniela Schiefeneder: Universität Regensburg, Fakultät für Mathematik

A chapter in Quantum Field Theory and Gravity, 2012, pp 157-182 from Springer

Abstract: Abstract Causal fermion systems are introduced as a general mathematical framework for formulating relativistic quantum theory. By specializing, we recover earlier notions like fermion systems in discrete space-time, the fermionic projector and causal variational principles. We review how an effect of spontaneous structure formation gives rise to a topology and a causal structure in space-time. Moreover, we outline how to construct a spin connection and curvature, leading to a proposal for a “quantum geometry” in the Lorentzian setting. We review recent numerical and analytical results on the support of minimizers of causal variational principles which reveal a “quantization effect” resulting in a discreteness of space-time. A brief survey is given on the correspondence to quantum field theory and gauge theories.

Keywords: Quantum geometry; causal fermion systems; fermionic projector approach. (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-0043-3_9

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DOI: 10.1007/978-3-0348-0043-3_9

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