论文标题

从d = 3到d = 2维度:拓扑顺序的注释

From D=3 to D=2 dimensions: a note on topological order

论文作者

Fosco, C. D., Schaposnik, F. A.

论文摘要

我们通过涉及与边界的Chern-Simons理论的尺寸降低的程序构建,这是1+1维超导体的有效理论。第一系统可以在普通阶段或拓扑结构中,具体取决于两个阶段的值,对应于复杂的顺序参数。最后,我们认为,原始理论及其尺寸缩小的理论可能与平板几何形状中的量子狄拉克场的有效作用有关,并耦合到量规场。

We construct, by a procedure involving a dimensional reduction from a Chern-Simons theory with borders, an effective theory for a 1+1 dimensional superconductor. 1That system can be either in an ordinary phase or in a topological one, depending on the value of two phases, corresponding to complex order parameters. Finally, we argue that the original theory and its dimensionally reduced one can be related to the effective action for a quantum Dirac field in a slab geometry, coupled to a gauge field.

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