December 2007, to be published in Physical Review D15


Renormalization group analysis of resonantly interacting anyons
Yusuke Nishida

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.

© 2008 The American Physical Society.