A formulation of quantum field theory realizing a sea of interacting Dirac particles

In this survey article we explain a few ideas behind the framework of the fermionic projector 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 all results of perturbative quantum field theory. Moreover, we find a new mechanism for the generation of boson masses and obtain small corrections to the field equations which violate causality.