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arXiv · 0903.1991

A Quenched Study of SU(3) Glueballs at Finite Temperature

Xiang-Fei Meng·Gang Li·Ying Chen·Chuan Liu·Yu-Bin Liu·Jian-Ping Ma·Jian-Bo Zhang
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Abstract

Thermal properties of glueballs in SU(3) Yang-Mills theory are investigated in a large temperature range from $0.3T_c$ to $1.9T_c$ 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 $M_G$ of glueballs remain almost constant when the temperature is approaching the critical temperature $T_c$ from below, and start to reduce gradually with the temperature going above $T_c$. The correlators in the $0^{++}$, $0^{-+}$, and $2^{++}$ channels are also analyzed based on the Breit-Wigner $\emph{Ansatz}$ by assuming a thermal width $Γ$ to the pole mass $ω_0$ of each thermal glueball ground state. While the values of $ω_0$ are insensitive to $T$ in the whole temperature range, the thermal widths $Γ$ exhibit distinct behaviors at temperatures below and above $T_c$. The widths are very small (approximately few percent of $ω_0$ or even smaller) when $T T_c$ and reach values of roughly $Γ\sim ω_0/2$ at $T\approx 1.9T_c$.

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Xiang-Fei Meng, Gang Li, Ying Chen, Chuan Liu, Yu-Bin Liu, Jian-Ping Ma, Jian-Bo Zhang. 2010-02-02. A Quenched Study of SU(3) Glueballs at Finite Temperature. https://doi.org/10.1103/physrevd.80.114502

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