Phase transitions in gases with generalized charges interacting through a~logarithmic law~I.~$d=2$, Isotropic case
Teoretičeskaâ i matematičeskaâ fizika, Tome 49 (1981) no. 1, pp. 77-91

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The renormalization group method is used to consider the dependence of the critical properties of two-dimensional Coulomb gases with generalized charges on the internal symmetry. It is shown that only gases with definite discrete symmetries are renormalizable. A new method is proposed for obtaining the terms of higher order in the renormalization group equations. The nature of the singularities, the critical exponents, and the long-wavelength behavior of the correlation functions in the low-temperature phase for various renormalizable gases are found.
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     author = {S. A. Bulgadaev},
     title = {Phase transitions in gases with generalized charges interacting through a~logarithmic {law~I.~}$d=2$, {Isotropic} case},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     publisher = {mathdoc},
     volume = {49},
     number = {1},
     year = {1981},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1981_49_1_a5/}
}
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S. A. Bulgadaev. Phase transitions in gases with generalized charges interacting through a~logarithmic law~I.~$d=2$, Isotropic case. Teoretičeskaâ i matematičeskaâ fizika, Tome 49 (1981) no. 1, pp. 77-91. http://geodesic.mathdoc.fr/item/TMF_1981_49_1_a5/