2007/08/31 by Yusuke Nishida
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum and electron transport phenomena #Quantum many-body systems #cond-mat.other #hep-th #nucl-th #quant-ph
paper · pdf · doi:10.1103/physrevd.77.061703
published as Phys.Rev.D77:061703,2008 · 6 pages, 6 figures; added a discussion on the many-body physics
openalex publication_date 2008/03/19 · arxiv created 2008/03/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.