Derivation of the effective action of a dilute Fermi gas in the unitary limit of the BCS–BEC crossover |
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| Authors: | Adriaan M.J. Schakel |
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| Affiliation: | Institut für Theoretische Physik, Universität Leipzig, Postfach 100 920, D-04009 Leipzig, Germany;Laboratório de Física Teórica e Computacional, Departamento de Física, Universidade Federal de Pernambuco, 50670-901 Recife-PE, Brazil |
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| 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 obtained in the weak-coupling BCS limit. |
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| Keywords: | Unitary Fermi gas BCS&ndash BEC crossover Effective action Anderson&ndash Bogoliubov mode |
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