superQCD和超导体中约束的对比
Contrasting confinement in superQCD and superconductors
摘要：
超对称规范理论（SQCD）的真空（N=2软破缺为N=1）类似于BCS超导体的真空，因为它有一个凝聚体，将通量准直成涡旋，导致禁闭。我们将SQCD涡嵌入BCS理论，用费米速度分别除以London穿透深度和相干长度来确定N=1矢量多重态质量和最轻质量手征多重态质量。因此，嵌入的超导性是I型的，因此涡核小于相干长度。因此，非局域效应（Pippard电动力学）意味着涡旋解超出了规范理论中隐含的朗道-金兹伯格近似的有效范围。换句话说，涡旋解包含的梯度大于BCS和规范理论描述所一致的梯度。我们认为更一般的超势多项式的手征多重峰，并发现，除非一个增加了超对称性的部门，一个获得II型超导只有当超势扰动至少是二次的基本手征多重峰和至少是线性的伴随手征多重峰，在这种情况下，没有N=2的超对称性在紫外线。
英文摘要：
The vacuum of supersymmetric gauge theories (SQCD) with N=2 softly broken to N=1 resembles that of a BCS superconductor in that it has a condensate which collimates flux into vortices, leading to confinement. We embed the SQCD vortex into the BCS theory by identifying the N=1 vector multiplet mass and lightest massive chiral multiplet mass with the Fermi velocity divided by the London penetration depth and coherence length respectively. Thus embedded the superconductivity is type I and so the vortex core is smaller than the coherence length. Therefore nonlocal effects (Pippard electrodynamics) imply that the vortex solution is beyond the range of validity of the Landau-Ginzburg approximation implicit in the gauge theory. In other words, the vortex solution contains gradients greater than those for which the BCS and gauge theory descriptions agree. We consider more general superpotentials which are polynomial in the chiral multiplets and find that, unless one adds a SUSY breaking sector, one obtains type II superconductivity only when the superpotential perturbation is at least quadratic in the fundamental chiral multiplets and at least linear in the adjoint chiral multiplets, in which case there is no N=2 supersymmetry in the ultraviolet.
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