An Action Principle for the Masses of Dirac Particles

Abstract

A variational principle is introduced which minimizes an action formulated for configurations of vacuum Dirac seas. The action is analyzed in position and momentum space. We relate the corresponding Euler-Lagrange equations to the notion of state stability. Examples of numerical minimizers are constructed and discussed.

43 pages, LaTeX, 8 figures, minor corrections (published version)

References in corpus (3)

• On the Regularized Fermionic Projector of the Vacuum
• From Discrete Space-Time to Minkowski Space: Basic Mechanisms, Methods and Perspectives
• Fermion Systems in Discrete Space-Time

Cited by in corpus (9)

• On the Regularized Fermionic Projector of the Vacuum
• Noether-Like Theorems for Causal Variational Principles
• Perturbative Quantum Field Theory in the Framework of the Fermionic Projector
• Entanglement and Second Quantization in the Framework of the Fermionic Projector
• The Causal Action in Minkowski Space and Surface Layer Integrals
• Two-Dimensional Area and Matter Flux in the Theory of Causal Fermion Systems
• From Discrete Space-Time to Minkowski Space: Basic Mechanisms, Methods and Perspectives
• The Linear Dynamics of Wave Functions in Causal Fermion Systems
• A Canonical Construction of the Extended Hilbert Space for Causal Fermion Systems