Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 215-03. Exact mass asymptotics for the two-dimensional O(4) lattice model
Manuscript map · lines 6295–6304
OpenAI@2026-10-07#rem:oai-p-215-03
Authors: OpenAI. Family 215.
Title: Exact mass asymptotics for the two-dimensional O(4) lattice model.
Abstract: For the nearest-neighbor $O(4)$ model on the square lattice at inverse temperature β, we prove the exact low-temperature asymptotic ${}displaystyle m_{{}mathrm{lat}}({}beta){}sim 32{}exp({}pi/4-1/2){}sqrt{}beta{},{}exp(-{}pi{}beta) {}qquad ({}beta{}to{}infty).$ Here the mass is the gap of the full Osterwalder–Schrader transfer operator, including rotation-invariant local-observable sectors, in units of one original lattice time step.
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.
Nearby in this section
- section: Manuscript map
- remark: Remark: 001-01. Milne's rationality conjecture for abelian varieties
- remark: Remark: 002-01. Exact Birch–Swinnerton-Dyer Formula from Low Selmer Corank
- remark: Remark: 002-02. The Selmer converse for elliptic curves at every prime
- remark: Remark: 002-03. The two-primary Birch–Swinnerton-Dyer formula in Selmer corank at most one
- remark: Remark: 003-01. The Quasi-Riemann Hypothesis: A Zero-Free Half-Plane s 7/8
- remark: Remark: 003-02. The Quasi-Riemann Hypothesis (alternate 11/12 proof)
- remark: Remark: 003-03. Uniform exclusion of Landau–Siegel zeros