The Homogeneous Causal Action Principle on a Compact Domain in Momentum Space

Abstract

The homogeneous causal action principle on a compact domain of momentum space is introduced. The connection to causal fermion systems is worked out. Existence and compactness results are reviewed. The Euler-Lagrange equations are derived and analyzed under suitable regularity assumptions.

arXiv comment33 pages, LaTeX, 2 figures, smaller improvements (published version)

References in corpus (7)

• The Continuum Limit of Causal Fermion Systems
• Causal Fermion Systems: A Quantum Space-Time Emerging from an Action Principle
• Causal Fermion Systems as a Candidate for a Unified Physical Theory
• Causal Fermion Systems: An Elementary Introduction to Physical Ideas and Mathematical Concepts
• A Variational Principle in Discrete Space-Time - Existence of Minimizers
• Causal Variational Principles on Measure Spaces
• Causal Variational Principles in the $\sigma$-Locally Compact Setting: Existence of Minimizers

Cited by in corpus (1)

• A Mechanism for Dark Matter and Dark Energy in the Theory of Causal Fermion Systems