0++-2++Glueball Mass Ratio in Non-Abelian Gauge Theories

Abstract

By means of a high-statistics Monte Carlo simulation, Fisher scaling is studied for pure SU(2) and SU(3) lattice gauge theory. In both cases $2^{++}$ is found to be the lowest state above the vacuum, and the $\frac{m\left(0^{++}\right)}{m\left(2^{++}\right)}$ glueball mass ratio is slightly larger than 1. For SU(2), Monte Carlo data smoothly continue the analytic $\frac{m\left(0^{++}\right)}{m\left(2^{++}\right)}$ small-volume calculation towards the infinite-volume continuum limit. New results for the ratio between the square root of the string tension and the mass gap are also reported.