We review the bosonization method for Fermi gases, initiated by Sawada, Bohm–Pines, and Gell-Mann–Brueckner in the 1950s, and present recent rigorous results that justify this approach in the mean-field regime with regular and Coulomb interactions, as well as in the low-density regime leading to the Huang–Yang formula. We also discuss some open questions on related topics.
Phan Thành Nam (Sun,) studied this question.