论文标题
在有限密度的QCD低能限制中，超导型重型管的晶体
Crystals of superconducting Baryonic tubes in the low energy limit of QCD at finite density
论文作者
论文摘要
QCD的低能量限制在有限密度下允许超导型重型管的晶体。我们从（3+1）维度（这是大N扩展的领先顺序中的QCD的低能限制）中的麦克斯韦高明的天际模型开始。我们构建了一个能够在高男性电荷扇区中降低七个耦合场方程的ANSATZ，仅在两个空间方向与管子轴的正交方向上具有有效电势（可以明确计算）的一个线性schrodinger样方程（可以明确计算）。该溶液代表了重型超导管的有序阵列，因为（大部分）Baryonic电荷和总能量集中在管状区域中。它们即使在消失的u（1）量规场的极限也具有持续的电流（在管道外消失）：这种电流不能连续变形至零，因为它与拓扑电荷相关。然后，我们讨论“ T Hooft扩展到Skyrme”模型中的跨座更正（通常称为\ Mathcal {l} _ {6} $，$ \ Mathcal {l} _ {8} $等）。值得注意的是，相同的ANSATZ允许通过“ T Hooft膨胀的任何顺序”以任何顺序进行分析构建这些超导型男性管的晶体。因此，无论包含多少个转向词的术语，这些测量的孤子的有序阵列都会用相同的ansatz描述，并保持其主要特性表现出通用特征。另一方面，转标项可能会影响配置设置允许的重子密度上的下限的稳定性。
The low energy limit of QCD admits (crystals of) superconducting Baryonic tubes at finite density. We begin with the Maxwell-gauged Skyrme model in (3+1)-dimensions (which is the low energy limit of QCD in the leading order of the large N expansion). We construct an ansatz able to reduce the seven coupled field equations in a sector of high Baryonic charge to just one linear Schrodinger-like equation with an effective potential (which can be computed explicitly) periodic in the two spatial directions orthogonal to the axis of the tubes. The solutions represent ordered arrays of Baryonic superconducting tubes as (most of) the Baryonic charge and total energy is concentrated in the tube-shaped regions. They carry a persistent current (which vanishes outside the tubes) even in the limit of vanishing U(1) gauge field: such a current cannot be deformed continuously to zero as it is tied to the topological charge. Then, we discuss the subleading corrections in the 't Hooft expansion to the Skyrme model (called usually \mathcal{L}_{6}$, $\mathcal{L}_{8}$ and so on). Remarkably, the very same ansatz allows to construct analytically these crystals of superconducting Baryonic tubes at any order in the 't Hooft expansion. Thus, no matter how many subleading terms are included, these ordered arrays of gauged solitons are described by the same ansatz and keep their main properties manifesting a universal character. On the other hand, the subleading terms can affect the stability properties of the configurations setting lower bounds on the allowed Baryon density.
