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Critical exponents in completely integrable models of quantum statistical physics
Teoretičeskaâ i matematičeskaâ fizika, Tome 70 (1987) no. 1, pp. 135-145 Cet article a éte moissonné depuis la source Math-Net.Ru

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In one-dimensional quantum systems phase transition takes place at zero temperature. The general formula is obtained and investigated for the critical exponent describing the power decrease of zero-temperature correlators at long distances. This formula is valid for a great number of one-dimensional models including the Heisenberg model. The critical exponent is connected with fractional charge; it can also be expressed in terms of macroscopic characteristics of a model. 
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     title = {Critical exponents in completely integrable models of quantum statistical physics},
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N. M. Bogolyubov; A. G. Izergin; V. E. Korepin. Critical exponents in completely integrable models of quantum statistical physics. Teoretičeskaâ i matematičeskaâ fizika, Tome 70 (1987) no. 1, pp. 135-145. http://geodesic.mathdoc.fr/item/TMF_1987_70_1_a10/

[1] Bethe H., Z. Phys., 71:3–4 (1931), 205–226 | DOI

[2] Faddeev L. D., Kvantovye vpolne integriruemye modeli teorii polya, Preprint R-2-79, LOMI, L., 1979

[3] Luther A., Peschel I., Phys. Rev., B12:9 (1975), 3908–3917 | DOI

[4] Fogedby H. C., J. Phys., C11:23 (1978), 4767–4791

[5] Popov V. N., TMF, 11:3 (1972), 354–365

[6] Popov V. N., Pisma v ZhETF, 31:9 (1980), 560–563

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

[8] Haldane F. D. M., Phys. Rev. Lett., 47:25 (1981), 1840–1843 | DOI

[9] Haldane F. D. M., Phys. Lett., A81:2–3 (1981), 153–155 | DOI | MR

[10] Izergin A. G., Korepin V. E., Commun. Math. Phys., 94 (1984), 67–92 | DOI | MR | Zbl

[11] Korepin V. E., Commun. Math. Phys., 94 (1984), 93–113 | DOI | MR | Zbl

[12] Izergin A. G., Korepin V. E., Commun. Math. Phys., 99 (1985), 271–302 | DOI | MR | Zbl

[13] Korepin V. E., Slavnov N. A., TMF, 68:3 (1986), 471–478 | MR

[14] Izergin A. G., Korepin V. E., Vestn. LGU, Ser. 4, 1986, no. 2, 3–8

[15] Bogoliubov N. M., Korepin V. E., Nucl. Phys., 257 [FS14] (1985), 766–775 | DOI | MR

[16] Heisenberg W., Z. Phys., 49:9–10 (1928), 619–636 | DOI | Zbl

[17] Yang C. P., Yang C. N., Phys. Rev., 150:1 (1966), 321–327 ; 327–339 | DOI | Zbl

[18] Korepin V. E., TMF, 41:2 (1979), 169–189 | MR

[19] Takhtadzhyan L. A., Faddeev L. D., UMN, 34:5 (1979), 13–63 | MR

[20] Kulish P. P., Sklyanin E. K., Phys. Lett., A70 (1979), 461–463 | DOI | MR

[21] Lieb E. H., Phys. Rev. Lett., 18 (1967), 692–694 | DOI | MR

[22] Korepin V. E., DAN SSSR, 265:6 (1982), 1361–1364 | MR

[23] Izergin A. G., Korepin V. E., Lett. Math. Phys., 8 (1984), 259–265 | DOI | MR

[24] Izergin A. G., Korepin V. E., Pisma v ZhETF, 42:10 (1985), 414–416 | MR

[25] Lieb E. H., Liniger W., Phys. Rev., 130:4 (1963), 1605–1624 | DOI | MR

[26] Berezin F. A., Pokhil G. P., Finkelberg V. M., Vestn. MGU, ser. mat.-mekh., 1964, no. 1, 21–28 | MR

[27] McGuire J. B., J. Math. Phys., 5:5 (1964), 622–629 | DOI | MR

[28] Sklyanin E. K., Faddeev L. D., DAN SSSR, 243:6 (1978), 1430–1433

[29] Sklyanin E. K., DAN SSSR, 244:6 (1978), 1337–1341 | MR

[30] Izergin A. G., Korepin V. E., DAN SSSR, 259:1 (1981), 76–79 | MR | Zbl

[31] Izergin A. G., Korepin V. E., Nucl. Phys., B205 [FS5]:3 (1982), 401–413 | DOI | MR

[32] Tarasov V. O., Takhtadzhyan L. A., Faddeev L. D., TMF, 57:2 (1983), 163–181 | MR

[33] Bogolyubov N. M., Korepin V. E., TMF, 66:3 (1986), 455–462 | MR