2009/11/30 by Felix Finster · 1 citation
Mathematics · Physics and Astronomy · #Action (physics) #Advanced Operator Algebra Research #Algebraic and Geometric Analysis #Causal fermion system #Connection (principal bundle) #Dirac (video compression format) #Dirac equation #Dirac sea #Field (mathematics) #Projector #Quantum and Classical Electrodynamics #Quantum field theory #hep-th #math-ph #math.MP
paper · pdf · doi:10.1007/s11005-011-0473-1
published as Lett.Math.Phys.97:165-183,2011 · 16 pages, LaTeX, 1 figure, minor changes (published version)
openalex publication_date 2011/02/18 · arxiv created 2011/04/28 · arxiv updated 2011/07/25 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.