Geodesic
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 
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/
@article{TMF_1981_49_1_a5,
     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},
     pages = {77--91},
     year = {1981},
     volume = {49},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1981_49_1_a5/}
}
TY  - JOUR
AU  - S. A. Bulgadaev
TI  - Phase transitions in gases with generalized charges interacting through a logarithmic law I. $d=2$, Isotropic case
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1981
SP  - 77
EP  - 91
VL  - 49
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1981_49_1_a5/
LA  - ru
ID  - TMF_1981_49_1_a5
ER  - 
%0 Journal Article
%A S. A. Bulgadaev
%T Phase transitions in gases with generalized charges interacting through a logarithmic law I. $d=2$, Isotropic case
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1981
%P 77-91
%V 49
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1981_49_1_a5/
%G ru
%F TMF_1981_49_1_a5

Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[1] Stanley H. E., Kaplan T. A., Phys. Rev. Lett., 17 (1966), 913 | DOI | MR

[2] Anderson P. W., Yuval G., Hamann D. R., Phys. Rev., B1 (1970), 4464 | DOI

[3] Berezinskii V. L., ZhETF, 59 (1970), 907; 61 (1971), 1144

[4] Kosterlitz J. M., Thouless D. J., J. Phys., C6 (1973), 118; Kosterlitz J. M., J. Phys., C7 (1974), 1046

[5] Luther A., Emery V. I., Phys. Rev. Lett., 35 (1974), 589 ; Emery V. I., Luther A., Peschel I., Phys. Rev., B13 (1976), 1279; Финкельштейн А. М., Письма ЖЭТФ, 25 (1977), 83 | DOI

[6] Chui S. T., Lee P. A., Phys. Rev. Lett., 35 (1975), 315 | DOI

[7] Efetov K. V., Larkin A. I., ZhETF, 69 (1975), 764

[8] Wiegmann P. B., J. Phys., C11 (1978), 1583

[9] Jose J., Kadanoff L., Kirkpatrick S., Nelson D., Phys. Rev., B16 (1977), 1217 ; Kadanoff L., J. Phys., A11 (1978), 1399 | DOI | MR

[10] Elitzur S., Pearson R. B., Shigemitsu J., Phys. Rev., D19 (1979), 3698

[11] Ohta T., Progr. Theor. Phys., 60 (1978), 968 | DOI

[12] Callan C. G., Dashen R., Gross D. J., Phys. Rev., D16 (1977), 2526

[13] Callan C. G., Dashen R., Gross D. J., Phys. Rev., D17 (1978), 2717

[14] Popov V. N., Kontinualnye integraly v kvantovoi teorii polya i statisticheskoi fizike, Atomizdat, M., 1976 | MR

[15] Sklyanin E. K., Takhtadzhyan L. A., Faddeev L. D., TMF, 40 (1979), 184 | MR

[16] Filyev V. M., Wiegmann P. B., Phys. Lett., A76 (1980), 283 | DOI

[17] Bulgadaev S. A., Phys. Lett., B87 (1979), 47 | DOI

[18] Mikhailov A. V., Pisma ZhETF, 30 (1979), 443

[19] Bulgadaev S. A., Phys. Lett., 96B (1980), 151 | DOI | MR

[20] Mikhailov A. V., Olshanetsky M. A., Perelomov A. M., Preprint ITEP-64, ITEP, M., 1980

[21] Nelson D. R., Phys. Rev., B18 (1978), 2318 | DOI

[22] Onsager L., Phys. Rev., 65 (1944), 117 | DOI | MR | Zbl

[23] Larkin A. I., Khmelnitskii D. E., ZhETF, 56 (1969), 2087

[24] Wilson K., Fisher M. E., Phys. Rev. Lett., 28 (1972), 240 ; Wilson K., Phys. Rev. Lett., 28 (1972), 548 ; Wilson K., Kogut J., Phys. Rep., C12 (1974), 75 | DOI | DOI | DOI | Zbl

[25] Patashinskii A. Z., Pokrovskii V. L., Fluktuatsionnaya teoriya fazovykh perekhodov, Nauka, M., 1975 ; УФН, 121 (1977), 55 | MR | DOI | MR

[26] Nelson D. R., Halperin B. I., Phys. Rev., B19 (1979), 2457 | DOI

[27] Burbaki N., Gruppy i algebry Li, Mir, M., 1972 | MR | Zbl

[28] Belavin A. A., Phys. Lett., B87 (1979), 117 ; Аринштейн А. Э., ЯФ, 33 (1981), 551 ; Andrei N., Lowenstein J. H., Phys. Rev. Lett., 43 (1979), 1689 ; Phys. Lett., B90 (1979), 106 | DOI | MR | DOI | MR

[29] Shankar R., Phys. Lett., B92 (1980), 333 | DOI | MR

[30] Coleman S., Phys. Rev., D11 (1975), 2088

[31] Polyakov A. M., ZhETF, 63 (1972), 24

[32] Mandelstam S., Phys. Rev., D11 (1975), 3026 | MR

[33] Khuang K., Statisticheskaya mekhanika, Mir, M., 1966