The Causal Action in Minkowski Space and Surface Layer Integrals

Abstract

The Lagrangian of the causal action principle is computed in Minkowski space for Dirac wave functions interacting with classical electromagnetism and linearized gravity in the limiting case when the ultraviolet cutoff is removed. Various surface layer integrals are computed in this limiting case.

References in corpus (8)

• A Hamiltonian Formulation of Causal Variational Principles
• Causal Fermion Systems: An Elementary Introduction to Physical Ideas and Mathematical Concepts
• Complex Structures on Jet Spaces and Bosonic Fock Space Dynamics for Causal Variational Principles
• Perturbation Theory for Critical Points of Causal Variational Principles
• Two-Dimensional Area and Matter Flux in the Theory of Causal Fermion Systems
• A Class of Conserved Surface Layer Integrals for Causal Variational Principles
• Positive Functionals Induced by Minimizers of Causal Variational Principles
• Singular Support of Minimizers of the Causal Variational Principle on the Sphere

Cited by in corpus (11)

• Complex Structures on Jet Spaces and Bosonic Fock Space Dynamics for Causal Variational Principles
• Fermionic Fock Spaces and Quantum States for Causal Fermion Systems
• The Linear Dynamics of Wave Functions in Causal Fermion Systems
• Two-Dimensional Area and Matter Flux in the Theory of Causal Fermion Systems
• A Gauge Fixing Procedure for Causal Fermion Systems
• A Mechanism of Baryogenesis for Causal Fermion Systems
• Causal Fermion Systems: Discrete Space-Times, Causation and Finite Propagation Speed
• Positive Functionals Induced by Minimizers of Causal Variational Principles
• Construction of Global Solutions to the Linearized Field Equations for Causal Variational Principles
• A Positive Mass Theorem for Static Causal Fermion Systems
• Linear Bosonic Quantum Field Theories Arising from Causal Variational Principles