Functional renormalization group approach to the four-body problem
Physik Department, Technische Universität München,
2 Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 16, D-69120 Heidelberg, Germany
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We present a renormalization group analysis of the non-relativistic four-boson problem by means of a simple model with pointlike three- and four-body interactions. We investigate in particular the unitarity point where the scattering length is inﬁnite and all energies are at the atom threshold. We ﬁnd that the four-body problem behaves truly universally, independent of any four-body parameter conﬁrming the ﬁndings of Platter et al. and von Stecher et al. [1–3].
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