Geodesic
Charged vector bosons in a magnetic field at a finite temperature
Teoretičeskaâ i matematičeskaâ fizika, Tome 114 (1998) no. 3, pp. 439-453 Cet article a éte moissonné depuis la source Math-Net.Ru

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Bose–Einstein condensation does not occur in a charged vector boson gas in the presence of a homogeneous external magnetic field, although a major portion of the bosons are in the ground state. Spontaneous magnetization occurs in a vector boson gas. The total birth probability of vector boson pairs in a vacuum under a strong magnetic field at a finite temperature can be determined. Expressions that can probably characterize the vacuum free energy and magnetic moment are found, and formulas for the density and magnetic moment of the vector boson pairs generated by a magnetic field at a finite temperature are derived. 
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V. R. Khalilov. Charged vector bosons in a magnetic field at a finite temperature. Teoretičeskaâ i matematičeskaâ fizika, Tome 114 (1998) no. 3, pp. 439-453. http://geodesic.mathdoc.fr/item/TMF_1998_114_3_a8/

[1] S. N. Bose, Z. Phys., 26 (1921), 178 | DOI

[2] A. Einstein, Sitzungsber. Preuss. Akad. Wiss., 22 (1924), 261

[3] M. R. Schafroth, Phys. Rev., 100 (1955), 463 | DOI | MR

[4] R. M. May, Phys. Rev., 115 (1959), 254 ; J. Math. Phys., 6 (1965), 1446 | DOI | MR | DOI | MR

[5] L. D. Landau, E. M. Lifshits, Statisticheskaya fizika, Chast 1, Nauka, M., 1976 | MR

[6] A. Isikhara, Statisticheskaya fizika, Mir, M., 1973 | MR

[7] R. Kubo, Statisticheskaya mekhanika, Mir, M., 1967

[8] H. E. Haber, H. A. Weldon, Phys. Rev. D, 25 (1982), 502 | DOI

[9] J. Kapusta, Phys. Rev. D, 24 (1981), 426 | DOI

[10] D. J. Toms, Phys. Rev. D, 51 (1995), 1886 ; 1895 | DOI

[11] J. Daicic, N. E. Frankel, V. Kowalenko, Phys. Rev. Lett., 71 (1993), 1779 | DOI

[12] D. J. Toms, Phys. Lett. B, 343 (1995), 259 | DOI | MR

[13] M. H. Anderson et al., Science, 269 (1995), 198 | DOI | MR

[14] K. B. Davis, Phys. Rev. Lett., 75 (1995), 3969 | DOI

[15] C. C. Bradley et al., Phys. Rev. Lett., 75 (1995), 1687 | DOI

[16] H. P. Rojas, Phys. Lett. B, 179 (1996), 148 | DOI

[17] J. Trümper, W. Pietsch, C. Reppin et al., Astrophys. J., 219 (1978), L105 | DOI

[18] W. A. Wheaton, J. P. Doty, F. A. Primini et al., Nature, 282 (1979), 240 | DOI

[19] V. V. Skalozub, YaF, 28 (1978), 228

[20] N. K. Nielsen, P. Olesen, Nucl. Phys. B, 144 (1979), 376 | DOI | MR

[21] J. Ambjørn, P. Olesen, Phys. Lett. B, 218 (1989), 67 ; Nucl. Phys. B, 330 (1990), 193 | DOI | DOI

[22] J. Daicic, N. E. Frankel, Phys. Rev. D, 52 (1995), 7174 | DOI

[23] A. S. Vshivtsev, V. Ch. Zhukovskii, A. O. Starinets, Preprint 44/91, Tomskii nauchnyi tsentr SORAN, Tomsk, 1991

[24] V. R. Khalilov, Electrons in Strong Electromagnetic Fields: an Advanced Classical and Quantum Treatment, Gordon Breach Sci. Pub., Amsterdam, 1996

[25] I. S. Gradshtein, I. M. Ryzhik, Tablitsy integralov, summ, ryadov i proizvedenii, GIFML, M., 1963 | MR

[26] D. E. Miller, P. S. Ray, Phys. Rev. A, 33 (1986), 1990 | DOI

[27] P. Elmfors, P. Liljenberg, D. Persson, Bo-S. Scagerstam, Phys. Lett. B, 348 (1995), 462 | DOI

[28] R. Feinman, Statisticheskaya mekhanika, Mir, M., 1975

[29] K. Huang, Quarks Leptons and Gauge Fields, World Scientific, Singapore, 1982 | MR | Zbl

[30] J. Chakrabarti, Phys. Rev. D, 24 (1981), 2232 | DOI | MR

[31] L. D. Landau, E. M. Lifshits, Kvantovaya mekhanika. Nerelyativistskaya teoriya, Nauka, M., 1989 | MR

[32] R. D. Mattuck, A Guide to Feynman Diagrams in the Many-body Problem, McGRAW-HILL Pub. Company, London, 1967 | MR

[33] A. O. Starinets, A. S. Vshivtsev, V. Ch. Zhukovskii, Phys. Lett. B, 322 (1994), 403 | DOI

[34] R. Kubo, Termodinamika, Mir, M., 1970

[35] J. Schwinger, Phys. Rev., 82 (1951), 664 | DOI | MR | Zbl

[36] T. Vachaspati, Phys. Lett. B, 265 (1991), 258 | DOI | MR

[37] J. Ambjørn, P. Olesen, Niels Bohr Institute preprint NBI–HE–93–17, 1993 | Zbl

[38] P. Elmfors, P. Liljenberg, D. Persson, Bo-S. Skagerstam, Phys. Rev. D, 51 (1995), 5885 | DOI