论文标题
在YANG-MILLS理论中的$θ=π$的解元和CP破裂和SU的新型阶段（2）
Deconfinement and CP-breaking at $θ=π$ in Yang-Mills theories and a novel phase for SU(2)
论文作者
论文摘要
我们讨论了Yang-Mills理论中$θ=π$的解元和CP破裂相变。 't Hooft异常匹配的匹配禁止与CP对称性相匹配，并需要$ t_ {dec}（θ=π）\ le t_ {cp} $，其中$ t_ {dec}（θ=π）$和$ t_ {cp} $表示deconfinement和cp-pormatious cp-qp-restortime $ $ $ $ $ cp-use $ cp $ s $ cp $ s $。我们分析研究了这两个相变中的$ \ MATHCAL {n} = 1 $ supersymmetric yang-mills在小$ \ mathbb {r}^3 \ times s^1 $上具有GLUINOS的周期性边界条件。对于此模型中的SU（2）以外的大多数量规组，我们发现不等式饱和，因此将解密和CP恢复同时发生。我们演示了su（2）量规理论的特殊特征：有两个温度的有限窗口，$ t_ {dec}（π）<t_ {cp} $，这表明存在新型CP破裂相。我们还讨论了域壁及其连接的新阶段的含义。
We discuss the deconfinement and the CP-breaking phase transitions at $θ=π$ in Yang-Mills theories. The 't Hooft anomaly matching prohibits the confined phase with CP symmetry and requires $T_{dec}(θ=π) \le T_{CP}$, where $T_{dec}(θ=π)$ and $T_{CP}$ denote the deconfinement and the CP-restoration temperatures, respectively, at $θ=π$. We analytically study these two phase transitions in softly-broken $\mathcal{N}=1$ supersymmetric Yang-Mills theories on small $\mathbb{R}^3\times S^1$ with the periodic boundary condition for gluinos. For most gauge groups except SU(2) in this model, we find that the inequality is saturated, so deconfinement and CP restoration occur simultaneously. We demonstrate special features of the SU(2) gauge theory: There is a finite window of two temperatures, $T_{dec}(π)<T_{CP}$, which indicates the existence of a novel CP-broken deconfined phase. We also discuss an implication of the novel phase for domain walls and their junctions.
