Exploring Correlation Methods to Determine QCD beta-Functions on the Lattice

TL;DR

This paper explores a new lattice correlation method to determine QCD beta-functions, offering an alternative to traditional Monte Carlo approaches, and demonstrates promising results in SU(2) gauge theory.

Contribution

It introduces a correlation-based technique for extracting QCD beta-functions directly from lattice data, providing a novel approach beyond Monte Carlo methods.

Findings

Successful numerical testing in SU(2) gauge theory

Promising results indicate potential for broader application

Provides an alternative method for lattice QCD analysis

Abstract

We investigate -- as an alternative to usual Monte Carlo Renormalization Group methods -- the feasibility of extracting QCD beta-functions directly from a lattice analysis of correlations between the action and Wilson loops. We test this correlation technique numerically in four dimensional SU(2) gauge theory, on a 16^4 lattice at beta = 2.5 and find very promising results.