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Entangled Quantum States of Causal Fermion Systems and Unitary Group Integrals

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arxiv 2207.13157 v2 pith:X62EUHSE submitted 2022-07-26 math-ph hep-thmath.MPmath.OAquant-ph

classification math-phhep-thmath.MPmath.OAquant-ph
keywords groupstatescausaldimensionentangledfermionintegralsquantum
verification ladder T0 review T1 audit T2 compute T3 formal
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This paper is dedicated to a detailed analysis and computation of quantum states of causal fermion systems. The mathematical core is to compute integrals over the unitary group asymptotically for a large dimension of the group, for various integrands with a specific scaling behavior in this dimension. It is shown that, in a well-defined limiting case, the localized refined pre-state is positive and allows for the description of general entangled states.

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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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