Derivation of the effective action of a dilute Fermi gas in the unitary limit of the BCS-BEC crossover
arXiv:0912.1955 · doi:10.1016/j.aop.2010.09.005
Abstract
The effective action describing the gapless Nambu-Goldstone, or Anderson-Bogoliubov, mode of a zero-temperature dilute Fermi gas at unitarity is derived up to next-to-leading order in derivatives from the microscopic theory. Apart from a next-to-leading order term that is suppressed in the BCS limit, the effective action obtained in the strong-coupling unitary limit is proportional to that in the weak-coupling BCS limit.
arXiv comment13 pages, no figures; v2: discussion of one-dimensional system and references added
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- Collective modes in the anisotropic unitary Fermi gas and the inclusion of a backflow term
- Quantum Chaos for the Unitary Fermi Gas from the Generalized Boltzmann Equations
- Verification of an analytic fit for the vortex core profile in superfluid Fermi gases
- Goldstone and Higgs Hydrodynamics in the BCS-BEC Crossover
- Misconceptions on Effective Field Theories and spontaneous symmetry breaking: Response to Ellis' article