Continuum limit of two-dimensional multiflavor scalar gauge theories

TL;DR

This paper investigates the continuum limit of two-dimensional multicomponent scalar lattice gauge theories with non-Abelian symmetries, using numerical simulations to explore their universal behavior and relation to sigma models.

Contribution

It provides numerical evidence that these scalar gauge theories share the same continuum limit as sigma models on symmetric spaces with identical global symmetry.

Findings

Support for the conjecture of shared continuum limits with sigma models

Numerical results on universal behavior in the critical regime

Analysis of the interplay between local and global symmetries

Abstract

We address the interplay between local and global symmetries by analyzing the continuum limit of two-dimensional multicomponent scalar lattice gauge theories, endowed by non-Abelian local and global invariance. These theories are asymptotically free. By exploiting Monte Carlo simulations and finite-size scaling techniques, we provide numerical results concerning the universal behavior of such models in the critical regime. Our results support the conjecture that two-dimensional multiflavor scalar models have the same continuum limit as the $\sigma$-models associated with symmetric spaces that have the same global symmetry.