Perturbative Quantum Field Theory in the Framework of the Fermionic Projector

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Finster, Felix (2013)
  • Related identifiers: doi: 10.1063/1.4871549
  • Subject: Mathematical Physics | High Energy Physics - Theory | 510 Mathematik | ddc:510
    arxiv: Condensed Matter::Quantum Gases | High Energy Physics::Lattice

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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    [10] Finster F., The fermionic projector in an external potential: Non-perturbative construction and the Hadamard property, in preparation.

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