Fermionic Fock Spaces and Quantum States for Causal Fermion Systems

preprint2021arXivOpen access

Abstract

It is shown for causal fermion systems describing Minkowski-type spacetimes that an interacting causal fermion system at time tt 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.

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