Perturbative Quantum Field Theory in the Framework of the Fermionic Projector

2013/10/31 by Felix Finster · 1 citation
Physics and Astronomy · Mathematics · #math-ph #hep-th #math.MP

paper · pdf · doi:10.1063/1.4871549

published as J. Math. Phys. 55 (2014) 042301 · 63 pages, LaTeX, 19 figures, minor corrections and improvements (published version)

arxiv created 2014/04/16 · arxiv updated 2014/04/30

Abstract

We give a microscopic derivation of perturbative quantum field theory, taking causal fermion systems and the framework of the fermionic projector as the starting point. The resulting quantum field theory agrees with standard quantum field theory on the tree level and reproduces all bosonic loop diagrams. The fermion loops are described in a different formalism in which no ultraviolet divergences occur.

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