Derivation of the effective action of a dilute Fermi gas in the unitary limit of the BCS-BEC crossover
classification
❄️ cond-mat.quant-gas
keywords
limitactioneffectivediluteferminext-to-leadingorderunitary
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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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