{
  "arxiv_id": "2605.30199",
  "title": "Continuum Limit of Causal Fermion Systems",
  "authors": [
    "Patrick Fischer",
    "Felix Finster"
  ],
  "abstract": "Abstract:We construct the causal fermion system for globally hyperbolic spacetimes starting in the framework of algebraic quantum field theory. The fermionic projector is identified with the one-particle density operator of a quasi-free Hadamard state. The ultraviolet regularization is built into the fermionic projector via a chart-independent $i\\varepsilon$-regularization scheme. The continuum limit analysis is developed in globally hyperbolic spacetimes. It is shown that the Euler-Lagrange equations of the causal action principle are satisfied in this setup if and only if the coupled Einstein-Dirac equations hold.",
  "url": "https://arxiv.org/abs/2605.30199",
  "pdf_path": "/home/allaun/Research Stack/shared-data/papers/2026-05/2605.30199.pdf"
}