Scalar and Tensor Glueballs on Asymmetric Coarse Lattices

TL;DR

This study computes scalar and tensor glueball masses in SU(3) gauge theory using improved lattice actions on asymmetric lattices, achieving more reliable continuum extrapolations with results around 1730 MeV and 2400 MeV respectively.

Contribution

The paper presents improved lattice calculations of glueball spectra on asymmetric lattices with finer spacings, enhancing the accuracy of continuum limit extrapolations, especially for the scalar glueball.

Findings

Scalar glueball mass: 1730(90) MeV

Tensor glueball mass: 2400(95) MeV

Use of asymmetric lattices improves continuum extrapolation

Abstract

Scalar and tensor 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.