English

Dualities for anyons

High Energy Physics - Theory 2010-12-17 v2 Quantum Gases Strongly Correlated Electrons

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.

Keywords

Cite

@article{arxiv.1005.4936,
  title  = {Dualities for anyons},
  author = {Brando Bellazzini},
  journal= {arXiv preprint arXiv:1005.4936},
  year   = {2010}
}

Comments

17+1 pages, extra appendix, typos fixed

R2 v1 2026-06-21T15:28:21.314Z