On the Mathematical Foundations of Causal Fermion Systems in Minkowski Space

  title={On the Mathematical Foundations of Causal Fermion Systems in Minkowski Space},
  author={Marco Oppio},
  journal={arXiv: Mathematical Physics},
  • Marco Oppio
  • Published 19 September 2019
  • Physics
  • arXiv: Mathematical Physics
The emergence of the concept of a causal fermion system is revisited and further investigated for the vacuum Dirac equation in Minkowski spacetime. After a brief recap of the Dirac equation and its solution space, in order to allow for the effects of a possibly nonstandard structure of spacetime at the Plank scale, a regularization by a smooth cutoff in momentum space is introduced, and its properties are discussed. Given an ensemble of solutions, we recall the construction of a local… 
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