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

Finster, Felix (2011) A Formulation of Quantum Field Theory Realizing a Sea of Interacting Dirac Particles. LETTERS IN MATHEMATICAL PHYSICS, 97 (2). pp. 165-183. ISSN 0377-9017,

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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.

Item Type: Article
Uncontrolled Keywords: POLARIZED VACUUM; ELECTRODYNAMICS; POSITRON; ELECTRONS; SPACE; Relativistic quantum theory; Dirac sea; fermionic projector
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics > Prof. Dr. Felix Finster
Depositing User: Dr. Gernot Deinzer
Date Deposited: 03 Jun 2020 10:03
Last Modified: 03 Jun 2020 10:03
URI: https://pred.uni-regensburg.de/id/eprint/20483

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