Advances in Theoretical and Mathematical Physics

Volume 27 (2023)

Number 7

Solving the linearized field equations of the causal action principle in Minkowski space

Pages: 2087 – 2217

DOI: https://dx.doi.org/10.4310/ATMP.2023.v27.n7.a4

Author

Felix Finster (Fakultät für Mathematik, Universität Regensburg, Germany)

Abstract

The linearized field equations for causal fermion systems in Minkowski space are analyzed systematically using methods of functional analysis and Fourier analysis. Taking into account a direction-dependent local phase freedom, we find a multitude of homogeneous solutions. The time evolution of the inhomogeneous equations is studied. It leads to the dynamical creation of retarded solutions as well as to the generation of non-propagating perturbations.

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Published 14 August 2024