论文标题
$θ$依赖于4D SU中的$ T_C $（3）Yang-Mills理论，具有直方图方法和Lee-Yang Zeros在大$ n $限制中
$θ$ dependence of $T_c$ in 4d SU(3) Yang-Mills theory with histogram method and the Lee-Yang zeros in the large $N$ limit
论文作者
论文摘要
探索了$θ$ - $ t $平面上四维SU（3）Yang-Mills理论的相图。我们通过Polyakov Loop的约束有效潜在的有效潜在的有效潜力来重新审视$ T_C（θ）$的$θ$依赖性。 $θ$项是由重新加权方法引入的，关键$β$被确定为$θ\ sim 0.75 $，其中$β$中的插值是由多点重量重量重量重量级方法进行的。在此获得的$ t_c $的$θ$依赖性与d'Elia and negro \ cite {delia：2012pvq，delia：2013uaf}的先前结果一致。我们还通过将配置分类为高温和低温阶段并应用Clausius-Clapeyron方程来得出$ T_C（θ）$。发现在$ t_c（θ）$的双井潜力中的潜在障碍物在$θ$的情况下变得更高，这表明第一阶转换在$θ\ sim 0.75 $上持续强劲。使用此处获得的信息，我们尝试描绘自由能密度在$ t <t_c（0）$处的预期$θ$依赖性，该$以$θ$的中间值越过一阶过渡线。 Finally, how the Lee-Yang zeros associated with the spontaneous CP violation appear is discussed formally in the large $N$ limit, and the locations of them are found to be $(θ_R,θ_I)=\left( (2m+1)π, \frac{2n+1}{2χV_4} \right)$ with $n$ and $m$ arbitrary integers.
The phase diagram on the $θ$-$T$ plane in four dimensional SU(3) Yang-Mills theory is explored. We revisit the $θ$ dependence of the deconfinement transition temperature, $T_c(θ)$, on the lattice through the constraint effective potential for Polyakov loop. The $θ$ term is introduced by the reweighting method, and the critical $β$ is determined to $θ\sim 0.75$, where the interpolation in $β$ is carried out by the multipoint reweighting method. The $θ$ dependence of $T_c$ obtained here turns out to be consistent with the previous result by D'Elia and Negro \cite{DElia:2012pvq,DElia:2013uaf}. We also derive $T_c(θ)$ by classifying configurations into the high and low temperature phases and applying the Clausius-Clapeyron equation. It is found that the potential barrier in the double well potential at $T_c(θ)$ becomes higher with $θ$, which suggests that the first order transition continues robustly above $θ\sim 0.75$. Using information obtained here, we try to depict the expected $θ$ dependence of the free energy density at $T < T_c(0)$, which crosses the first order transition line at an intermediate value of $θ$. Finally, how the Lee-Yang zeros associated with the spontaneous CP violation appear is discussed formally in the large $N$ limit, and the locations of them are found to be $(θ_R,θ_I)=\left( (2m+1)π, \frac{2n+1}{2χV_4} \right)$ with $n$ and $m$ arbitrary integers.
