Pure gauge glueballs at finite temperature

Abstract

Pure gauge glueballs at finite temperature are investigated in a large temperature range from $0.3T_c$ to $1.9T_c$ on anisotropic lattices. Optimized glueball operators are used to obtain better signals. It is found in all 20 symmetry channels that the pole masses $M_G$ of glueballs remain almost constants when the temperature approaches the critical temperature $T_c$ from below, and start to reduce gradually with the temperature going above $T_c$. The glueball correlators in $0^{++}$, $0^{-+}$, and $2^{++}$ channels, are also analyzed based on the Breit-Wigner ansatz by assuming a thermal width $\Gamma$ to the pole mass ${\omega }_0$. While ${\omega }_0$'s are insensitive to $T$ in the whole temperature range, $\Gamma$'s exhibit distinct behavior below and above $T_c$: They are only few percents of ${\omega }_0$ when $T<T_c$, but grow abruptly when $T>T_c$ and reach values of roughly $\Gamma \sim {\omega }_0/2$ at $T\approx 1.9T_c$.

Comments: Lattice2009, 8 pages, 5 figures