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.Comment: 94 pages, LaTeX, 10 figures, minor improvements, more details added (published version
The theory of causal fermion systems is an approach to describe fundamental physics. We here introdu...
new approach to unrenormalizable and marginally singular field theories is developed using generaliz...
We study linear inhomogeneous kinetic equations with an external confining potential and a collision...
The existence theory is developed for solutions of the inhomogeneous linearized field equations for ...
This monograph introduces the basic concepts of the theory of causal fermion systems, a recent appro...
It is shown that the theory of causal fermion systems gives rise to a novel mechanism of baryogenesi...
The theory of causal fermion systems is a new physical theory which aims to describe a fundamental l...
The emergence of the concept of a causal fermion system is revisited and further investigated for th...
The Causal Set hypothesis for Quantum Gravity asserts that the smooth Lorentzian spacetime manifold ...
We have recently proposed a simple relativistic theory which reduces to modified Newtonian dynamics ...
The Lagrangian of the causal action principle is computed in Minkowski space for Dirac wave function...
Functional renormalization group equations are analytically continued from imaginary Matsubara frequ...
One usually considers wave equations as evolution equations, i.e. imposes initial data and solves th...
Abstract: We introduce a family of generalized d’Alembertian operators inD-dimensional Minkowski spa...
The perturbation theory for critical points of causal variational principles is developed. We first ...
The theory of causal fermion systems is an approach to describe fundamental physics. We here introdu...
new approach to unrenormalizable and marginally singular field theories is developed using generaliz...
We study linear inhomogeneous kinetic equations with an external confining potential and a collision...
The existence theory is developed for solutions of the inhomogeneous linearized field equations for ...
This monograph introduces the basic concepts of the theory of causal fermion systems, a recent appro...
It is shown that the theory of causal fermion systems gives rise to a novel mechanism of baryogenesi...
The theory of causal fermion systems is a new physical theory which aims to describe a fundamental l...
The emergence of the concept of a causal fermion system is revisited and further investigated for th...
The Causal Set hypothesis for Quantum Gravity asserts that the smooth Lorentzian spacetime manifold ...
We have recently proposed a simple relativistic theory which reduces to modified Newtonian dynamics ...
The Lagrangian of the causal action principle is computed in Minkowski space for Dirac wave function...
Functional renormalization group equations are analytically continued from imaginary Matsubara frequ...
One usually considers wave equations as evolution equations, i.e. imposes initial data and solves th...
Abstract: We introduce a family of generalized d’Alembertian operators inD-dimensional Minkowski spa...
The perturbation theory for critical points of causal variational principles is developed. We first ...
The theory of causal fermion systems is an approach to describe fundamental physics. We here introdu...
new approach to unrenormalizable and marginally singular field theories is developed using generaliz...
We study linear inhomogeneous kinetic equations with an external confining potential and a collision...