Light Glueball masses using the Multilevel Algorithm

TL;DR

This paper introduces a multilevel algorithm to accurately compute light glueball masses in SU(3) lattice gauge theory, reducing errors without link smearing, and compares its performance to traditional methods.

Contribution

The paper presents a novel error reduction algorithm based on the multilevel scheme for extracting glueball masses without link smearing, improving accuracy in lattice simulations.

Findings

Error bars comparable to smeared operator methods

Effective in extracting $0^{++}$ and $2^{++}$ states

Demonstrates advantages over naive correlation methods

Abstract

Following the multilevel scheme we present an error reduction algorithm for extracting glueball masses from monte-carlo simulations of pure SU(3) lattice gauge theory. We look at the two lightest states viz. the $0^{++}$ and $2^{++}$. Our method involves looking at correlations between large Wilson loops and does not require any smearing of links. The error bars we obtain are at the moment comparable to those obtained using smeared operators. We also present a comparison of our method with the naive method.