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Measures sub-leading C-function in 4D lattice gauge theory, suggesting non-universal behavior.
Cross-(L, beta) measurement of the sub-leading entanglement entropy C-function in SU(2) 4D lattice gauge theory via Buividovich-Polikarpov alpha-integration. Dataset: beta in {2.3, 2.4, 2.5, 2.6} x L in {8, 10, 12} = 132 simulations. Key findings: c_3D grows linearly with beta (slope ~0.10); ratio test r_c/r1/a^2 <= 0.6 proves BP method cancels leading kappa/a^2; sub-leading C(beta) is non-universal; log(3)/(2pi*sqrt(2))=0.124 coincidence at beta=2.5 within 1%. This paper supersedes the v7.4.0 PRL claim of universal C-function. Method does NOT extract leading kappa. Roadmap: Modular Hamiltonian (Bisognano-Wichmann), interface free energy, doubled Hilbert space. Author: Kevin Remondiere (ORCID 0009-0008-2443-7166), Independent Researcher, Oloron-Sainte-Marie, France.
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Kévin Rémondière (2026) studied this question.
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