Title: A precise study of the SU(3) Yang-Mills theory across the deconfinement transition Show Chinese title

Title: SU(3) Yang-Mills 理论在禁闭相变过程中的精确研究

Abstract: We perform a detailed computation of key quantities across the first-order deconfinement phase transition of the SU(3) Yang-Mills theory. Specifically, we calculate the entropy density, $s(T_c)/T_c^3$, on both sides of the transition and determine the latent heat $h$. The calculations are carried out in the lattice regularization with the Wilson action, employing shifted boundary conditions in the temporal direction. Our simulations are performed at five different values of the lattice spacing in order to extrapolate the results to the continuum limit. The latent heat can be measured also as the discontinuity in the trace anomaly of the energy-momentum tensor: our result using the entropy density is compatible with the one obtained from the trace anomaly, giving a combined estimate $h=1.175(10)$. Additionally, we determine the critical temperature $T_c$ in physical units with permille accuracy, yielding $T_c \sqrt{t_0} = 0.24915(29)$. These results allow to connect with precision the confined and the deconfined phases and we present an improved computation of the Equation of State across the deconfinement transition for $T$ between 0 and $3.4 T_c$. Show Chinese abstract

Abstract: 我们对SU(3)杨-米尔斯理论的一阶禁闭相变中的关键量进行了详细计算。 具体来说，我们在相变的两侧计算了熵密度，$s(T_c)/T_c^3$，并确定了潜热$h$。 计算是在格点正则化下进行的，使用威尔逊作用量，并在时间方向上采用移位边界条件。 我们的模拟在五个不同的格点间距值下进行，以便将结果外推到连续极限。 潜热也可以作为能量动量张量的迹异常的不连续性来测量：我们使用熵密度得到的结果与通过迹异常得到的结果一致，给出了一个综合估计$h=1.175(10)$。 此外，我们以千分之一的精度确定了物理单位下的临界温度$T_c$，得出 $T_c \sqrt{t_0} = 0.24915(29)$。 这些结果使得能够精确地连接束缚相和非束缚相，并我们提出了在0到$3.4 T_c$之间的$T$的去禁闭相变过程中状态方程的改进计算。