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

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.

94 pages, LaTeX, 10 figures, minor improvements, more details added (published version)

Cited by in corpus (4)

• Causal Fermion Systems as an Effective Collapse Theory
• A Positive Quasilocal Mass for Causal Variational Principles
• A Canonical Construction of the Extended Hilbert Space for Causal Fermion Systems
• Holographic Mixing and Fock Space Dynamics of Causal Fermion Systems