SU的物态方程（3）梯度流下基于能量动量张量的规范理论
Equation of State for SU(3) Gauge Theory via the Energy-Momentum Tensor under Gradient Flow
摘要：
本文用梯度流方法得到的重整化能量动量张量直接格点测量，研究了有限温度下SU（3）规范理论的能量密度和压强。用对应于晶格间距$a= 0.013$-$0.061\,\mathrm{fm}$的$β=6.287$-$7.500$进行了数值分析。空间（时间）大小选择为$N_s= 64$、$96$、$128$（$N_τ=12$、$16$、$20$、$22$、$24$），纵横比为$5.33 \le N_s/N_τ \le 8$。使用数值数据进行双重外推，即$a\rightarrow 0$（连续极限）和$t\rightarrow 0$（零流量时间极限）。在临界温度以上，热力学量以百分之几的精度获得，包括统计和系统误差。计算结果与以往用积分法得到的高精度数据吻合较好。
英文摘要：
The energy density and the pressure of SU(3) gauge theory at finite temperature are studied by direct lattice measurements of the renormalized energy-momentum tensor obtained by the gradient flow. Numerical analyses are carried out with $β=6.287$--$7.500$ corresponding to the lattice spacing $a= 0.013$--$0.061\,\mathrm{fm}$. The spatial (temporal) sizes are chosen to be $N_s= 64$, $96$, $128$ ($N_τ=12$, $16$, $20$, $22$, $24$) with the aspect ratio, $5.33 \le N_s/N_τ \le 8$. Double extrapolation, $a\rightarrow 0$ (the continuum limit) followed by $t\rightarrow 0$ (the zero flow-time limit), is taken using the numerical data. Above the critical temperature, the thermodynamic quantities are obtained with a few percent precision including statistical and systematic errors. The results are in good agreement with previous high-precision data obtained by using the integral method.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
