What was already known
Perturbative and integrability calculations predicted the continuum theory, while rigorous large-N, hierarchical, or local Gaussian results did not construct this cutoff-removed interacting continuum limit for the nearest-neighbor O(3) lattice model.
AI involvement
OpenAI credits itself as manuscript author and states that its internal frontier model produced the results in this release. Individual human input is not detailed enough to establish task-only autonomy.
OpenAI is named as author on the manuscript, and its release attributes the results to an internal frontier model. The individual human input is not detailed enough to establish autonomy.
Importance
Constructs a canonical non-Gaussian massive continuum field theory from the specified O(3) lattice model.
Limitations
The claim is for this lattice action and periodic thermodynamic state, with no universality assertion across other discretizations. The linked Lean scope checks finite-volume exponential correlation decay for O(n), n≥3, not the continuum limit, gap on the limiting field, or non-Gaussianity.
Technical verification
Reported is the default when evidence for a higher level is insufficient. The OpenAI-authored manuscript reports and argues the result, but the reviewed sources do not document a completed check of the full assessed claim.
Human understanding
Few is the default when evidence for a higher level is insufficient. No named person is documented as explaining the central argument for this assessed contribution.
Correction and publication history
Primary manuscript, attribution, prior-work, and precise Lean-scope or conditional-input review for non-notifying local inclusion.
Read this published revision