Dualities for anyons

Details Dualities for anyons Dualities for anyons

2010-05-26

arxiv.org/abs/1005.4936v2

J.Phys.A44:035403,2011

Physics

High Energy Physics

High Energy Physics - Theory

17+1 pages, extra appendix, typos fixed

Scientific paper

10.1088/1751-8113/44/3/035403

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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