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arXiv · 2304.00965

Solving the Linearized Field Equations of the Causal Action Principle in Minkowski Space

Felix Finster
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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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Felix Finster. 2023-04-03. Solving the Linearized Field Equations of the Causal Action Principle in Minkowski Space. https://doi.org/10.4310/atmp.2023.v27.n7.a4

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