论文标题
天空,量子大厅液滴和一个统治它们的电流
Skyrmions, Quantum Hall Droplets, and one current to rule them all
论文作者
论文摘要
我们基于隐藏的局部对称性的概念,在有效的培养液和媒介介子理论中介绍了一种新颖的天际般的保守电流。对于任何平滑配置,相关的电荷等效于Skyrmion电荷。另外,存在单数配置,可以识别为在新对称性下收到的N_F = 1个Baryons。在此识别下,媒介中的媒介扮演着生活在形成n_f = 1 baryon的量子大厅液滴上的Chern-Simons矢量场的作用。我们建议该电流是低能能下巴属电流的正确有效表达。该提案为两种类型的重子提供了统一的图片,并允许他们以自然的方式将一个不断地转换为另一个。此外,液滴上的Chern-simons二重性可以解释是由于胶子和媒介介子之间的类似塞伯格的二元性的结果。
We introduce a novel Skyrme-like conserved current in the effective theory of pions and vector mesons based on the idea of hidden local symmetry. The associated charge is equivalent to the skyrmion charge for any smooth configuration. In addition, there exist singular configurations that can be identified as N_f=1 baryons charged under the new symmetry. Under this identification, the vector mesons play the role of the Chern-Simons vector fields living on the quantum Hall droplet that forms the N_f=1 baryon. We propose that this current is the correct effective expression for the baryon current at low energies. This proposal gives a unified picture for the two types of baryons and allows them to continuously transform one to the other in a natural way. In addition, Chern-Simons dualities on the droplet can be interpreted as a result of Seiberg-like duality between gluons and vector mesons.