A Variational Principle in Discrete Space-Time - Existence of Minimizers
arXiv:math-ph/0503069 · doi:10.1007/s00526-006-0042-0
Abstract
We formulate a variational principle for a collection of projectors in an indefinite inner product space. The existence of minimizers is proved in various situations.
22 pages, LaTeX, clarifying footnote added on page 4
Cited by in corpus (18)
- Causal Fermion Systems: A Quantum Space-Time Emerging from an Action Principle
- Causal Fermion Systems as a Candidate for a Unified Physical Theory
- On the Regularized Fermionic Projector of the Vacuum
- Causal Variational Principles on Measure Spaces
- Entanglement and Second Quantization in the Framework of the Fermionic Projector
- Banach Manifold Structure and Infinite-Dimensional Analysis for Causal Fermion Systems
- The Causal Action in Minkowski Space and Surface Layer Integrals
- Fermionic Fock Spaces and Quantum States for Causal Fermion Systems
- Two-Dimensional Area and Matter Flux in the Theory of Causal Fermion Systems
- The Linear Dynamics of Wave Functions in Causal Fermion Systems
- From Discrete Space-Time to Minkowski Space: Basic Mechanisms, Methods and Perspectives
- A Mechanism of Baryogenesis for Causal Fermion Systems
- The Fermionic Projector, Entanglement, and the Collapse of the Wave Function
- Fermion Systems in Discrete Space-Time Exemplifying the Spontaneous Generation of a Causal Structure
- Causal Variational Principles in the -Locally Compact Setting: Existence of Minimizers
- A Notion of Entropy for Causal Fermion Systems
- The Homogeneous Causal Action Principle on a Compact Domain in Momentum Space
- A Lattice Model for the Fermionic Projector in a Static and Isotropic Space-Time