Advances in Theoretical and Mathematical Physics

Volume 27 (2023)

Number 5

Entangled quantum states of causal fermion systems and unitary group integrals

Pages: 1463 – 1589

DOI: https://dx.doi.org/10.4310/ATMP.2023.v27.n5.a4

Authors

Felix Finster (Fakultät für Mathematik, Universität Regensburg, Germany)

Niky Kamran (Department of Mathematics and Statistics, McGill University, Montréal, QC, Canada)

Moritz Reintjes (Department of Mathematics, City University of Hong Kong)

Abstract

This paper is dedicated to a detailed analysis and computation of quantum states of causal fermion systems. The mathematical core is to analyze 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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Published 15 July 2024