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December 2007, to be published in Physical Review D15
Renormalization group analysis of resonantly interacting anyons
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.
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