EPJ Web of Conferences 3, 02001 (2010)
https://doi.org/10.1051/epjconf/20100302001

Functional renormalization group and conformal invariance in cold atoms

Institut für Theoretische Physik, Philosophenweg 16, D-69120 Heidelberg, Germany

^a e-mail: s.moroz@thphys.uni-heidelberg.de

Abstract

We present an application of a field-theoretic functional renormalization group technique to fewbody (vacuum) physics of nonrelativistic atoms near a Feshbach resonance. We consider and compare a onecomponent bosonic system with a two-component fermionic system, focusing on the scale-free unitarity limit of an infinite scattering length. While the two-body problem is consistent with nonrelativistic conformal symmetry for the two considered systems, a conformal anomaly, manifested through a renormalization group limit cycle with the Efimov parameter s₀ ≈ 1.006, is found for bosons in the three-body problem.