Literature Cited
A. Z. Patashinskii and V. L. Pokrovskii, Fluctuation Theory of Phase Transitions [in Russian], Nauka, Moscow (1982).
S. Ma, Modern Theory of Critical Phenomena, Reading, Mass. (1976).
A. I. Sokolov, Zh. Eksp. Teor. Fiz.,77, 1598 (1979).
D. Blankenstein and A. Aharony, Phys. Rev. B,28, 386 (1983).
T. A. L. Ziman, D. J. Amit, G. Grinstein, and C. Jayaprakash, Phys. Rev. B,25, 319 (1982).
I. F. Lyuksyutov, V. L. Pokrovskii, and D. E. Khmel'nitskii, Zh. Eksp. Teor. Fiz.,69, 1817 (1975).
I. E. Dzyaloshinskii, Zh. Eksp. Teor. Fiz.,72, 1930 (1977).
M. Kerszberg and D. Mukamel, Phys. Rev. B,23, 3943, 3953 (1981).
Yu. M. Ivanchenko, A. A. Lisyanskii, and A. É. Filippov, Fiz. Tverd. Tela (Leningrad),27, 2156 (1985).
A. L. Korzhenevskii and B. N. Shalaev, Fiz. Tverd. Tela (Leningrad),21, 2278 (1979).
A. L. Korzhenevskii and A. I. Sokolov, Zh. Eksp. Teor. Fiz.,27, 255 (1978).
A. I. Sokolov and A. K. Tachanskii, Zh. Eksp. Teor. Fiz.,76, 181 (1979).
A. I. Sokolov, Pis'ma Zh. Eksp. Teor. Fiz.,29, 618 (1979).
A. I. Sokolov, Fiz. Tverd. Tela (Leningrad),25, 552 (1983).
Yu. M. Ivanchenko, A. A. Lisyanskii, and A. É. Filippov, Zh. Eksp. Teor. Fiz.,87, 1019 (1984).
A. Aharony, J. Imry, and S.-K. Ma, Phys. Rev. B,13, 466 (1976).
V. L. Berezinskii, Zh. Eksp. Teor. Fiz.,59, 907;61, 1144.
J. M. Kosterlitz and D. Thouless, J. Phys. C,6, 1181 (1973).
S. I. Shevchenko, Fiz. Nizk. Temp.,7, 429 (1981).
H. H. Icobson and D. J. Amit, Ann. Phys. (N.Y.),133, 57 (1981).
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Physicotechnical Institute, Ukrainian SSR Academy of Sciences, Donetsk. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 68, No. 3, pp. 425–432, September, 1986.
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Lisyanskii, A.A., Filippov, A.É. Loop renormalization of the Ginzburg-Landau functional in the theory of phase transitions. Theor Math Phys 68, 923–928 (1986). https://doi.org/10.1007/BF01019394
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DOI: https://doi.org/10.1007/BF01019394