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We investigate the superfluid transition of the Unitary Fermi Gas by means ofthe Functional Renormalization Group, aiming at quantitative precision. Weextract $T_{\rm c}/\mu=0.38(2)$ and $\Delta/\mu=1.04(15)$ for the criticaltemperature and the superfluid gap at zero temperature, respectively, within asystematic improvement of the truncation for the effective average action. Thekey new ingredient in comparison to previous approaches consists in the use ofregulators which cut off both frequencies and momenta. We incorporaterenormalization effects on both the bosonic and the fermionic propagator,include higher order bosonic scattering processes, and investigate theregulator and specification parameter dependence for an error estimate. Theratio $\Delta/T_{\rm c}=2.7(3)$ becomes less sensitive to the relative cutoffscale of bosons and fermions when improving the truncation. The techniquesdeveloped in this work are easily carried over to the cases of finitescattering length, lower dimensionality, and spin-imbalance.

Critical temperature and superfluid gap of the Unitary Fermi Gas from Functional Renormalization