Fermionic Fock Spaces and Quantum States for Causal Fermion Systems

Abstract

It is shown for causal fermion systems describing Minkowski-type spacetimes that an interacting causal fermion system at time $t$ gives rise to a distinguished state on the algebra generated by fermionic and bosonic field operators. The proof of positivity of the state is given and representations are constructed.

34 pages, LaTeX, 2 figures, construction simplified, Section 5.3 added (published version)

References in corpus (3)

• Banach Manifold Structure and Infinite-Dimensional Analysis for Causal Fermion Systems
• The Linear Dynamics of Wave Functions in Causal Fermion Systems
• A Notion of Entropy for Causal Fermion Systems

Cited by in corpus (4)

• The Linear Dynamics of Wave Functions in Causal Fermion Systems
• A Mechanism of Baryogenesis for Causal Fermion Systems
• Causal Fermion Systems: Classical Gravity and Beyond
• A Notion of Entropy for Causal Fermion Systems