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.

33 pages, LaTeX, 2 figures, smaller improvements (published version)

References in corpus (2)

• Causal Fermion Systems: An Elementary Introduction to Physical Ideas and Mathematical Concepts
• 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