Efimov effect from functional renormalization
Abstract
We apply a field-theoretic functional renormalization group technique to the few-body (vacuum) physics of non-relativistic atoms near a Feshbach resonance. Three systems are considered: one-component bosons with U(1) symmetry, two-component fermions with U(1)\times SU(2) symmetry and three-component fermions with U(1) \times SU(3) symmetry. We focus on the scale invariant unitarity limit for infinite scattering length. The exact solution for the two-body sector is consistent with the unitary fixed point behavior for all considered systems. Nevertheless, the numerical three-body solution in the s-wave sector develops a limit cycle scaling in case of U(1) bosons and SU(3) fermions. The Efimov parameter for the one-component bosons and the three-component fermions is found to be approximately s=1.006, consistent with the result of Efimov.
Cite
@article{arxiv.0812.0528,
title = {Efimov effect from functional renormalization},
author = {S. Moroz and S. Floerchinger and R. Schmidt and C. Wetterich},
journal= {arXiv preprint arXiv:0812.0528},
year = {2009}
}
Comments
21 pages, 6 figures, minor changes, published version