Functional renormalization group and conformal invariance in cold atoms
Institut für Theoretische Physik, Philosophenweg
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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.
© Owned by the authors, published by EDP Sciences, 2010