Sizes of Lightest Glueballs in SU(3) Lattice Gauge Theory

TL;DR

This study uses improved lattice Monte Carlo simulations to measure the sizes of scalar and tensor glueballs in SU(3) gauge theory, analyzing systematic errors and providing continuum limit estimates.

Contribution

It provides the first detailed measurement of glueball sizes across multiple lattice spacings, highlighting the size difference between scalar and tensor states in the continuum limit.

Findings

Tensor glueball is approximately twice as large as the scalar glueball.

Systematic errors from discretization and finite volume are thoroughly analyzed.

Results are consistent across four lattice spacings in the continuum limit.

Abstract

Standard Monte Carlo simulations have been performed on improved lattices to measure the wave functions and sizes of the scalar and tensor glueballs at four lattice spacings in the range $a= 0.05 - 0.145$ fm. Systematic errors from discretization and finite volume are studied. Our results in the continuum limit show that the size of the tensor state is approximately two times as large as that of the scalar glueball.