Solving the Linearized Field Equations of the Causal Action Principle in Minkowski Space
Mathematical Physics
2024-08-16 v2 Analysis of PDEs
math.MP
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.
Keywords
Cite
@article{arxiv.2304.00965,
title = {Solving the Linearized Field Equations of the Causal Action Principle in Minkowski Space},
author = {Felix Finster},
journal= {arXiv preprint arXiv:2304.00965},
year = {2024}
}
Comments
94 pages, LaTeX, 10 figures, minor improvements, more details added (published version)