Scaling properties of the projected SO(5) model in three dimensions

TL;DR

This study uses Quantum Monte Carlo methods to analyze the scaling behavior of a three-dimensional projected SO(5) model, revealing transient SO(5) symmetry near criticality despite symmetry-breaking effects.

Contribution

It provides the first detailed numerical analysis of the 3D projected SO(5) model's critical scaling, demonstrating transient SO(5) symmetry under various symmetry-breaking conditions.

Findings

Scaling behavior consistent with SO(5) symmetry in a transient regime

Symmetry breaking effects are negligible in accessible parameter regimes

Departure from SO(5) symmetry occurs only in extremely narrow, inaccessible regimes

Abstract

We study the scaling properties of the quantum ``projected'' SO(5) model in three dimensions by means of a highly accurate Quantum-Monte-Carlo analysis. Within the parameter regime studied (temperature and system size), we show that the scaling behavior is consistent with a SO(5)-symmetric critical behavior in a relative extendent transient regime. This holds both when the symmetry breaking is caused by quantum fluctuations only as well as when also the static (mean-field) symmetry is moderately broken. We argue that possible departure away from the SO(5)-symmetric scaling occurs only in an extremely narrow parameter regime, which is inaccessible both experimentally and numerically.