Geodesic
Functional approach to the investigation of collective exitations in uniform Fermi systems at $T=0$
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 4, Tome 131 (1983), pp. 28-33

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The scheme for the investigation of low energy collective exitations in the uniform Fermi systems in the functional integral formalism is suggested. It is shown that the spectrum of collective exitations at $T=0$ is defined by the Landau zero-sound dispersion equation. 
@article{ZNSL_1983_131_a2,
     author = {V. I. Vozyakov and V. N. Popov},
     title = {Functional approach to the investigation of collective exitations in uniform {Fermi} systems at $T=0$},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {28--33},
     publisher = {mathdoc},
     volume = {131},
     year = {1983},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1983_131_a2/}
}
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V. I. Vozyakov; V. N. Popov. Functional approach to the investigation of collective exitations in uniform Fermi systems at $T=0$. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 4, Tome 131 (1983), pp. 28-33. http://geodesic.mathdoc.fr/item/ZNSL_1983_131_a2/