论文标题
平面超导体如何治愈其红外差异
How planar superconductors cure their infrared divergences
论文作者
论文摘要
平面超导体，与超导相干长度相当的厚度薄膜与散装对应物至关重要。库仑相互作用是对数，直至超过典型样本量的距离，而安德森·希格斯（Anderson-Higgs）机制无效地筛选了所得的结果（2+1）维度的红外差异，因为珍珠长度通常也大于样本量大。结果，该系统分解为具有相干长度典型尺寸的超导液滴。我们表明，系统的两个可能阶段与（2+1）维QED固化其红外差异的两个已知机制相匹配，可以通过产生混合拓扑Chern-Simons质量或通过磁性单极激体孔来治愈其红外差异。前者在超导体中实现，后者控制着镜像二重超级群。因此，平面超导体通过拓扑结构量规（TCSG）理论描述，该理论在两个维度上取代了金茨堡 - 兰道模型。在TCSG模型中，没有HIGGS字段。因此，在平面超导体中，Abrikosov涡流不会形成，只有没有正常核心的Josephson涡流才能出现。
Planar superconductors, thin films with thickness comparable to the superconducting coherence length, differ crucially from their bulk counterparts. The Coulomb interaction is logarithmic up to distances exceeding typical sample sizes and the Anderson-Higgs mechanism is ineffective to screen the resulting infrared divergences of the resulting (2+1)-dimensional QED because the Pearl length is also typically larger than sample sizes. As a consequence, the system decomposes into superconducting droplets with the typical size of the coherence length. We show that the two possible phases of the system match the two known mechanisms by which (2+1)-dimensional QED cures its infrared divergences, either by generating a mixed topological Chern-Simons mass or by magnetic monopole instantons. The former is realized in superconductors, the latter governs mirror-dual superinsulators. Planar superconductors are thus described by a topological Chern-Simons gauge (TCSG) theory which replaces the Ginzburg-Landau model in two dimensions. In the TCSG model, the Higgs field is absent. Accordingly, in planar superconductors Abrikosov vortices do not form, and only Josephson vortices with no normal core can emerge.
