Derivation of the effective action of a dilute Fermi gas in the unitary limit of the BCS-BEC crossover

Details Derivation of the effective action of a dilute Fermi gas in the unitary limit of the BCS-BEC crossover Derivation of the effective action of a dilute Fermi gas in the unitary limit of the BCS-BEC crossover

2009-12-10

arxiv.org/abs/0912.1955v2

Ann. Phys. (N.Y.) 326, 193--206 (2011)

Physics

Condensed Matter

Quantum Gases

13 pages, no figures; v2: discussion of one-dimensional system and references added

Scientific paper

10.1016/j.aop.2010.09.005

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.

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