A Lattice Study of the Glueball Spectrum

TL;DR

This study uses improved lattice techniques to accurately determine the masses of scalar and tensor glueballs in pure SU(3) gauge theory, providing results close to experimental expectations.

Contribution

It presents a refined lattice calculation of the glueball spectrum with smaller lattice spacing, improving the reliability of continuum extrapolation, especially for the scalar glueball mass.

Findings

Scalar glueball mass: 1730(90) MeV

Tensor glueball mass: 2400(95) MeV

Enhanced accuracy in glueball mass determination

Abstract

Glueball spectrum is studied using an improved gluonic action on asymmetric lattices in the pure SU(3) gauge theory. The smallest spatial lattice spacing is about $0.08fm$ which makes the extrapolation to the continuum limit more reliable. In particular, attention is paid to the scalar glueball mass which is known to have problems in the extrapolation. Converting our lattice results to physical units using the scale set by the static quark potential, we obtain the following results for the glueball masses: $M_G(0^{++})=1730(90)MeV$ for the scalar glueball mass and $M_G(2^{++})=2400(95)MeV$ for the tensor glueball.