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Local algebras for causal fermion systems in Minkowski space

Finster, Felix ; Oppio, Marco



Abstract

A notion of local algebras is introduced in the theory of causal fermion systems. Their properties are studied in the example of the regularized Dirac sea vacuum in Minkowski space. The commutation relations are worked out, and the differences to the canonical commutation relations are discussed. It is shown that the spacetime point operators associated with a Cauchy surface satisfy a time slice ...

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