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

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

2009-11-11

arxiv.org/abs/0911.2102v4

Lett.Math.Phys.97:165-183,2011

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, LaTeX, 1 figure, minor changes (published version)

Scientific paper

10.1007/s11005-011-0473-1

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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