TL;DR
This paper demonstrates that the low-energy behavior of anyons in (1+1) dimensions with symmetric interactions is dual to the sine-Gordon model, revealing new insights into their dynamics and related models.
Contribution
It establishes a duality between anyon models and the sine-Gordon model, including analysis of related models and effects of electromagnetic interactions.
Findings
Duality between anyons and sine-Gordon model
Corrections to meson mass and chiral anomaly due to statistical parameter
Analysis of Tomonaga-Luttinger, Thirring, and Schwinger models
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.
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