零温和有限温胶球波函数的再研究
Revisiting glueball wave functions at zero and finite temperature
摘要:
研究了改进格点上三维紧致阿贝尔规范模型中胶球的尺寸和热性质。我们预测的半径$\sim 0.60$和$\sim 1.12$的单位弦张力,或$\sim 0.28$和$\sim 0.52$ fm,分别为标量和张量胶球。我们进行了一个很好的控制外推的半径的连续极限,并观察到我们的结果与预测值一致。利用蒙特卡罗模拟,我们从有限温度下的时间标量胶子中提取了最低标量胶子和最低张量胶子的极质量。我们看到了一个明确的证据,解除相,过渡似乎是类似的二维XY模型的普遍性参数所预期的。我们的研究结果表明,胶球波函数和质量的退禁闭阶段没有显着的变化。
英文摘要:
We study the sizes and thermal properties of glueballs in a three dimensional compact Abelian gauge model on improved lattice. We predict the radii of $\sim 0.60$ and $\sim 1.12$ in the units of string tension, or $\sim 0.28$ and $\sim 0.52$ fm, for the scalar and tensor glueballs, respectively. We perform a well controlled extrapolation of the radii to the continuum limit and observe that our results agree with the predicted values. Using Monte Carlo simulations, we extract the pole-mass of the lowest scalar and tensor glueballs from the temporal correlators at finite temperature. We see a clear evidence of the deconfined phase, and the transition appears to be similar to that of the two-dimensional XY model as expected from universality arguments. Our results show no significant changes in the glueball wave functions and masses in the deconfined phase.
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