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arXiv · 0708.4056

Renormalization group analysis of resonantly interacting anyons

Yusuke Nishida
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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.

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Yusuke Nishida. 2008-03-21. Renormalization group analysis of resonantly interacting anyons. https://doi.org/10.1103/physrevd.77.061703

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