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Pure gauge glueballs at finite temperature

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 $Γ$ to the pole mass $ω_0$. While $ω_0$'s are insensitive to $T$ in the whole temperature range, $Γ$'s exhibit distinct behavior below and above $T_c$: They are only few percents of $ω_0$ when $T<T_c$, but grow abruptly when $T>T_c$ and reach values of roughly $Γ\sim ω_0/2$ at $T\approx 1.9T_c$.