Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 218-03. Logarithmic Relative Fluctuations in the Weakly Disordered Planar Ising Model
Manuscript map · lines 6425–6434
OpenAI@2026-10-07#rem:oai-p-218-03
Authors: OpenAI. Family 218.
Title: Logarithmic Relative Fluctuations in the Weakly Disordered Planar Ising Model.
Abstract: Assuming the stated deterministic critical-reference estimates, we prove that the relative second moment of the quenched critical spin correlation in the square-lattice Ising model with independent fair bonds $1{}pm{}varepsilon$ grows as $({}log r){}{1/4+o(1)}$ for each sufficiently small fixed ε > 0. The correlation is evaluated at the physical critical temperature, with the thermodynamic limit taken before the disorder moments and the large-distance limit.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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