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Fermionic Fock Spaces and Quantum States for Causal Fermion Systems

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arxiv 2101.10793 v2 pith:PIBVOKN7 submitted 2021-01-26 math-ph hep-thmath.MPmath.OAquant-ph

Fermionic Fock Spaces and Quantum States for Causal Fermion Systems

classification math-ph hep-thmath.MPmath.OAquant-ph
keywords causalfermionfermionicstatesystemsalgebrabosonicconstructed
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Holographic Mixing and Fock Space Dynamics of Causal Fermion Systems

    math-ph 2024-10 unverdicted novelty 6.0

    A limiting case of the causal action principle in causal fermion systems yields QED Fock space dynamics via stochastic fluctuating fields and dephasing, while introducing holographic mixing.

  2. The Fock Space Dynamics of Causal Fermion Systems: Non-Abelian Gauge Fields

    math-ph 2026-07 conditional novelty 5.0

    A limiting case of the causal action principle for causal fermion systems yields the Fock-space dynamics and Feynman diagrams of pQFT including non-abelian gauges and Dirac fields.