Thermal properties of glueballs in SU (3) Yang-Mills theory are investigated in a large temperature range from 0.3Tc to 1.9Tc on anisotropic lattices. The glueball operators are optimized for the projection of the ground states by the variational method with a smearing scheme. Their thermal correlators are calculated in all 20 symmetry channels. It is found in all channels that the pole masses MG of glueballs remain almost constant when the temperature is approaching the critical temperature Tc from below, and start to reduce gradually with the temperature going above Tc. The correlators in the 0 ++ , 0 −+ , and 2 ++ channels are also analyzed based on the Breit-Wigner Ansatz by assuming a thermal width Γ to the pole mass ω0 of each thermal glueball ground state. While the values of ω0 are insensitive to T in the whole temperature range, the thermal widths Γ exhibit distinct behaviors at temperatures below and above Tc. The widths are very small (approximately few percent of ω0 or even smaller) when T < Tc, but grow abruptly when T > Tc and reach values of roughly Γ ∼ ω0/2 at T ≈ 1.9Tc.Thermal properties of glueballs in SU (3) Yang-Mills theory are investigated in a large temperature range from 0.3Tc to 1.9Tc on anisotropic lattices. The glueball operators are optimized for the projection of the ground states by the variational method with a smearing scheme. Their thermal correlators are calculated in all 20 symmetry channels. It is found in all channels that the pole masses MG of glueballs remain almost constant when the temperature is approaching the critical temperature Tc from below, and start to reduce gradually with the temperature going above Tc. The correlators in the 0 ++ , 0 −+ , and 2 ++ channels are also analyzed based on the Breit-Wigner Ansatz by assuming a thermal width Γ to the pole mass ω0 of each thermal glueball ground state. While the values of ω0 are insensitive to T in the whole temperature range, the thermal widths Γ exhibit distinct behaviors at temperatures below and above Tc. The widths are very small (approximately few percent of ω0 or even smaller) when T < Tc, but grow abruptly when T > Tc and reach values of roughly Γ ∼ ω0/2 at T ≈ 1.9Tc.
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