Geodesic
Effective action and collective bose-excitations in the $t$-$J$-model
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 13, Tome 224 (1995), pp. 300-309

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The two-dimensional ($2D$) $t$-$T$-model is investigated using the functional integration method. The effective action is obtained, and the spectrum of collective Bose-excitations in the superconductive phase of the system is calculated both in the phase-transition vicinity (Ginsburg–Landau region $|T-T_c|\ll T_c$) and in the low-temperature region $T\ll T_c$. Bibliography: 26 titles. 
@article{ZNSL_1995_224_a22,
     author = {V. N. Popov and P. A. Sevastianov},
     title = {Effective action and collective bose-excitations in the $t$-$J$-model},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {300--309},
     publisher = {mathdoc},
     volume = {224},
     year = {1995},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1995_224_a22/}
}
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V. N. Popov; P. A. Sevastianov. Effective action and collective bose-excitations in the $t$-$J$-model. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 13, Tome 224 (1995), pp. 300-309. http://geodesic.mathdoc.fr/item/ZNSL_1995_224_a22/