A New Theory of Anyons
High Energy Physics - Theory
2012-06-01 v1 Strongly Correlated Electrons
High Energy Physics - Phenomenology
Abstract
We study a 2+1 dimensional theory of bosons and fermions with an omega ~ k^2 dispersion relation. The most general interactions consistent with specific symmetries impart fractional statistics to the fermions. Unlike examples involving Chern-Simons gauge theories, our statistical phases derive from the exchange of gapless propagating bosons with marginal interactions. Even though no gap exists, we show that the anyonic statistics are precisely defined. Symmetries combine with the vacuum structure to guarantee the non-renormalization of our anyonic phases.
Keywords
Cite
@article{arxiv.1205.6816,
title = {A New Theory of Anyons},
author = {A. Liam Fitzpatrick and Shamit Kachru and Jared Kaplan and Emanuel Katz and Jay G. Wacker},
journal= {arXiv preprint arXiv:1205.6816},
year = {2012}
}
Comments
18+10 pages