Non-perturbative evaluation for anomalous dimension in 2-dimensional O(3) sigma model

TL;DR

This paper non-perturbatively calculates the wave-function renormalization and anomalous dimension in the 2D O(3) sigma model within a finite volume, validating results against perturbative methods.

Contribution

It introduces a non-perturbative approach to evaluate the anomalous dimension in the 2D O(3) sigma model using finite volume analysis.

Findings

Results agree with perturbative evaluations

Finite volume scheme effectively determines anomalous dimensions

Step scaling function analysis confirms reasonable behavior

Abstract

We calculate the wave-function renormalization in 2-dimensional O(3) sigma model, non- perturbatively. It is evaluated in a box with a finite spatial extent. We determine the anomalous dimension in the finite volume scheme through an analysis of the step scaling function. Results are compared with a perturbative evaluation, and the reasonable behavior is confirmed.