Renormalization group analysis of resonantly interacting anyons
arXiv:0708.4056 · doi:10.1103/PhysRevD.77.061703
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.
6 pages, 6 figures; added a discussion on the many-body physics
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Cited by in corpus (9)
- Super Efimov effect of resonantly interacting fermions in two dimensions
- Induced p-wave superfluidity in two dimensions: Brane world in cold atoms and nonrelativistic defect CFTs
- Liberating Efimov physics from three dimensions
- Scale invariance vs conformal invariance
- Semisuper Efimov effect of two-dimensional bosons at a three-body resonance
- Super Efimov effect for mass-imbalanced systems
- Universal behaviour of four-boson systems from a functional renormalisation group
- Relativistic Borromean States
- Semisuper Efimov effect induced by resonant pair exchange in mixed dimensions