Effective Lagrangian of unitary Fermi gas from $\varepsilon$ expansion

Details Effective Lagrangian of unitary Fermi gas from $\varepsilon$ expansion Effective Lagrangian of unitary Fermi gas from $\varepsilon$ expansion

2007-12-13

arxiv.org/abs/0712.2093v1

Physics

Nuclear Physics

Nuclear Theory

17 pages, 4 figures

Scientific paper

10.1103/PhysRevA.78.043610

Using $\varepsilon$ expansion technique proposed in \cite{Nishida:2006br} we derive an effective Lagrangian (Ginzburg-Landau-like functional) of the degenerate unitary Fermi gas to the next-to-leading (NLO) order in $\varepsilon.$ It is demonstrated that for many realistic situations it is sufficient to retain leading order (LO) terms in the derivative expansion. The functional is used to study vortex structure in the symmetric gas, and interface between normal and superfluid phases in the polarized gas. The resulting surface free energy is about four times larger than the value previously quoted in the literature.

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