标题： QCD低能极限下的Pearcey积分、Stokes线和精确的重子层 显示英文标题

标题： Pearcey integrals, Stokes lines and exact baryonic layers in the low energy limit of QCD

摘要： 在规范化的Skyrme模型中，首次构建了代表有限重子密度下存在于恒定磁场中的重子层的第一个解析解。 这些构型的一个显著特征是，如果忽略Skyrme项，则在恒定磁场背景下无法找到这些重子层的解析解，并且它们的能量随着磁场的增加而迅速增长。 另一方面，如果考虑Skyrme项，则场方程可以解析求解，并且相应的解对于强磁场具有平滑极限。 因此，Skyrme项揭示了这些在恒定磁场中有限重子密度下存在的构型的普遍特性。 这些构型的经典巨正则系综配分函数可以用Pearcey积分显式表示。 这一事实使我们能够解析确定配分函数的Stokes线以及对应的对重子化学势和外部磁场的依赖关系。 通过这种方式，我们可以确定（$\mu_B-B_{ext}$）平面上分离不同物理行为的各种临界曲线。 这些非均匀重子凝聚态家族也可以通过代表层自身调制的解的手征共形激发来修饰。 分析了一些物理后果。 显示英文摘要

摘要： The first analytic solutions representing baryonic layers living at finite baryon density within a constant magnetic field in the gauged Skyrme model are constructed. A remarkable feature of these configurations is that, if the Skyrme term is neglected, then these baryonic layers in the constant magnetic background cannot be found analytically and their energies grow very fast with the magnetic field. On the other hand, if the Skyrme term is taken into account, the field equations can be solved analytically and the corresponding solutions have a smooth limit for large magnetic fields. Thus, the Skyrme term discloses the universal character of these configurations living at finite Baryon density in a constant magnetic field. The classical gran-canonical partition function of these configurations can be expressed explicitly in terms of the Pearcey integral. This fact allows us to determine analytically the Stokes lines of the partition function and the corresponding dependence on the baryonic chemical potential as well as on the external magnetic field. In this way, we can determine various critical curves in the ($\mu_B-B_{ext}$) plane which separates different physical behaviors. These families of inhomogeneous baryonic condensates can be also dressed with chiral conformal excitations of the solutions representing modulations of the layers themselves. Some physical consequences are analyzed.