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

@article{Finster2011AFO,
  title={A Formulation of Quantum Field Theory Realizing a Sea of Interacting Dirac Particles},
  author={Felix Finster},
  journal={Letters in Mathematical Physics},
  year={2011},
  volume={97},
  pages={165-183}
}
  • F. Finster
  • Published 11 November 2009
  • Physics
  • Letters in Mathematical Physics
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… 
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31 Citations
Highly Influential Citations
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  • F. Finster
  • Physics, Philosophy
    Journal of Physics: Conference Series
  • 2019
The theory of causal fermion systems is a recent approach to fundamental physics. Giving quantum mechanics, general relativity and quantum field theory as limiting cases, it is a candidate for a…
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The previous functional analytic construction of the fermionic projector on globally hyperbolic Lorentzian manifolds is extended to space-times of infinite lifetime. The construction is based on an…
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