任意子的对偶
Dualities for anyons
摘要：
我们证明了具有最小导数数和C，P，T对称相互作用的（1+1）维任意子的低能动力学与玻色子场的sine-Gordon模型是对偶的.我们讨论特别是Tomonaga-Luttinger，Thirring和Schwinger模型，以及它们的变形相关和边缘运营商。在存在电磁相互作用的情况下，任意子禁闭产生的介子质量和手征反常都可以用统计参数进行修正。
英文摘要：
We show that the low-energy dynamics of anyons in (1+1)-dimensions with the smallest number of derivatives and C, P and T symmetric interactions, are dual to the sine-Gordon model for bosonic fields. We discuss in particular the Tomonaga-Luttinger, Thirring and Schwinger models, as well as their deformation by relevant and marginal operators. In the presence of electromagnetic interactions, the mass of the meson from anyon confinement and the chiral anomaly get corrected by the statistical parameter.
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