• Corpus ID: 237485589

H\"older Continuity of the Integrated Causal Lagrangian in Minkowski Space

@inproceedings{Oppio2021HolderCO,
  title={H\"older Continuity of the Integrated Causal Lagrangian in Minkowski Space},
  author={Marco Oppio},
  year={2021}
}
It is proven that the kernel of the fermionic projector of regularized Dirac sea vacua in Minkowski Space is L-integrable. The proof is carried out in the specific setting of a continuous exponentially-decaying cutoff in momentum space. As a direct consequence, the corresponding causal Lagrangian is shown to be L-integrable. Some topological features of the integrated causal Lagrangian are analyzed. In particular, local Hölder-like estimates are proved for continuous regular variations of… 
1 Citations
Banach manifold structure and infinite-dimensional analysis for causal fermion systems
A mathematical framework is developed for the analysis of causal fermion systems in the infinite-dimensional setting. It is shown that the regular spacetime point operators form a Banach manifold

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