Perturbative Quantum Field Theory in the Framework of the Fermionic Projector

Felix Finster

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Submission date: 16. Oct. 2013
Pages: 64
published in: Journal of mathematical physics, 55 (2014) 4, art-no. 042301 
DOI number (of the published article): 10.1063/1.4871549
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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.