Renormalization group analysis of resonantly interacting anyons
High Energy Physics - Theory
2008-11-26 v2 Other Condensed Matter
Nuclear Theory
Quantum Physics
Abstract
We formulate a field theory for resonantly interacting anyons, that enables us to perform a perturbative calculation near the fermionic limit. We derive renormalization group equations for three-body and four-body couplings at one-loop order. In addition to two fixed points, we find a limit cycle behavior in the four-body coupling, which implies an infinite set of bound states in the four-anyon system.
Cite
@article{arxiv.0708.4056,
title = {Renormalization group analysis of resonantly interacting anyons},
author = {Yusuke Nishida},
journal= {arXiv preprint arXiv:0708.4056},
year = {2008}
}
Comments
6 pages, 6 figures; added a discussion on the many-body physics