Dualities for anyons

Abstract

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.

17+1 pages, extra appendix, typos fixed

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Cited by in corpus (3)

• Correlation functions of one-dimensional strongly interacting two-component gases
• Correlation functions and momentum distribution of one-dimensional hard-core anyons in optical lattices
• Non-equilibrium dynamics of the anyonic Tonks-Girardeau gas at finite temperature