Exploring glueball wave functions on the lattice

Abstract

We calculate the string tension and $0^{++}$ and $2^{++}$ glueball masses in pure gauge QCD using an improved lattice action. We compare various smearing methods, and find that the best glueball signal is obtained using smeared Wilson loops of a size of about 0.5 fm. Our results for mass ratios $\frac{m_{0^{++}}}{\sqrt{\sigma }}=3.5\mathrm{}\left(3\right)\mathrm{}$ and $\frac{m_{2^{++}}}{m_{0^{++}}}=1.6\mathrm{}\left(2\right)\mathrm{}$ are consistent with those computed with the simple plaquette action.