Renormalization group analysis of resonantly interacting anyons

Details Renormalization group analysis of resonantly interacting anyons Renormalization group analysis of resonantly interacting anyons

2007-08-30

arxiv.org/abs/0708.4056v2

Phys.Rev.D77:061703,2008

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, 6 figures; added a discussion on the many-body physics

Scientific paper

10.1103/PhysRevD.77.061703

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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