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A Formulation of Quantum Field Theory Realizing a Sea of Interacting Dirac Particles

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Abstract

In this survey article, we explain a few ideas behind the fermionic projector approach and summarize recent results which clarify the connection to quantum field theory. The fermionic projector is introduced, which describes the physical system by a collection of Dirac states, including the states of the Dirac sea. Formulating the interaction by an action principle for the fermionic projector, we obtain a consistent description of interacting quantum fields which reproduces the results of perturbative quantum field theory. We find a new mechanism for the generation of boson masses and obtain small corrections to the field equations which violate causality.

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  1. Fakultät für Mathematik, Universität Regensburg, 93040, Regensburg, Germany

    Felix Finster

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  1. Felix Finster
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Correspondence to Felix Finster.

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Supported in part by the Deutsche Forschungsgemeinschaft.

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Finster, F. A Formulation of Quantum Field Theory Realizing a Sea of Interacting Dirac Particles. Lett Math Phys 97, 165–183 (2011). https://doi.org/10.1007/s11005-011-0473-1

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  • DOI: https://doi.org/10.1007/s11005-011-0473-1

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