Exact renormalisation group flow for ultracold Fermi gases in unitary limit

Understand

We study the exact renormalisation group flow for ultracold Fermi-gases in unitary regime.

• We introduce a pairing field to describe the formation of the Cooper pairs, and take a simple ansatz for the effective action.
• Set of approximate flow equations for the effective couplings including boson and fermionic fluctuations is derived.
• At some value of the running scale, the system undergoes a phase transition to a gapped phase.