{ "id": "2101.10793", "version": "v1", "published": "2021-01-26T14:09:18.000Z", "updated": "2021-01-26T14:09:18.000Z", "title": "Fermionic Fock Spaces and Quantum States for Causal Fermion Systems", "authors": [ "Felix Finster", "Niky Kamran" ], "comment": "32 pages, LaTeX. arXiv admin note: substantial text overlap with arXiv:2101.08673", "categories": [ "math-ph", "math.MP" ], "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. Positivity of the state is proven and representations are constructed.", "revisions": [ { "version": "v1", "updated": "2021-01-26T14:09:18.000Z" } ], "analyses": { "keywords": [ "fermionic fock spaces", "quantum states", "interacting causal fermion system", "bosonic field operators", "minkowski-type spacetimes" ], "note": { "typesetting": "LaTeX", "pages": 32, "language": "en", "license": "arXiv", "status": "editable" } } }