Abstract
We derive the universal high momentum factorization of the fermion self-energy in the BCS-BEC crossover of ultracold atoms using nonperturbative quantum field theoretical methods. This property is then employed to compute the Tan contact as a function of interaction strength, temperature, and chemical potential or density. We clarify the mechanism of the factorization from an analysis of the self-consistent Schwinger–Dyson equation for the fermion propagator and compute the perturbative contact on the BCS and Bose–Einstein condensate (BEC) sides within this framework. A functional renormalization group approach is then put forward, which makes it possible to determine the contact over the whole crossover and, in particular, for the unitary Fermi gas. We present numerical results from an implementation of the renormalization group equations within a basic truncation scheme.
4 More- Received 10 October 2012
DOI:https://doi.org/10.1103/PhysRevA.87.023606
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