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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

classification math-phhep-thmath.MPmath.OAquant-ph
keywords causalfermionfermionicstatesystemsalgebrabosonicconstructed
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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.

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Cited by 2 Pith papers

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

  1. A Geometric Derivation of the Einstein Equations from the Causal Action Principle

    math-ph 2026-07 conditional novelty 7.0 of 10

    Using osculating vacua, the authors derive Einstein's equations from the causal action principle, with the gravitational coupling identified as the square of the regularization length.

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

    math-ph 2026-07 conditional novelty 5.0 of 10

    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.

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