# 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…

## One Citation

Banach manifold structure and infinite-dimensional analysis for causal fermion systems

- MathematicsAnnals of Global Analysis and Geometry
- 2021

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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