Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 216-05. The critical correlation exponent of the planar XY model
Manuscript map · lines 6365–6374
OpenAI@2026-10-07#rem:oai-p-216-05
Authors: OpenAI. Family 216.
Title: The critical correlation exponent of the planar XY model.
Abstract: For the ordinary nearest-neighbor XY model on the square lattice, we prove the Berezinskii–Kosterlitz–Thouless prediction that the critical spin-correlation exponent is 1/4. More precisely, at the mass-defined critical inverse temperature, the infinite-volume correlation is $n{}{-1/4+o(1)}$. The infinite-volume limit through free square boxes is taken before the separation 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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