Quasi-asymptotic freedom in the two dimensional O(3) model

TL;DR

This paper investigates the short-distance behavior of the renormalized spin 2-point function in the 2D O(3) model, revealing deviations from standard theory and suggesting a novel quasi-asymptotic freedom phenomenon.

Contribution

It provides the first numerical comparison between the O(3) and dodecahedron models, highlighting significant differences from theoretical predictions at short distances.

Findings

Excellent agreement between O(3) and dodecahedron models

Short distance behavior differs from standard theoretical expectations

Proposes a possible explanation for the observed deviations

Abstract

The behaviour of the renormalized spin 2-point function in the O(3) and dodecahedron spin model are investigated numerically. The Monte Carlo data show excellent agreement between the two models. The short distance behavior comes very close to standard theoretical expectations, yet it differs significantly from it. A possible explanation of this situation is offered.