Theoretical and Mathematical Physics

, Volume 101, Issue 3, pp 1436–1442 | Cite as

Three-dimensional Gross-Neveu model in external chromomagnetic fields at finite temperature

  • A. S. Vshivtsev
  • K. G. Klimenko
  • V. V. Magnitskii


A (2+1)-dimensional four-fermion theory at finite temperature in external chromomagnetic fields that model a vacuum gluon condensate is considered. The critical properties of the theory are investigated, and the dependence of the fermion mass on the external field is also found.


External Field Critical Property Finite Temperature Fermion Mass Gluon Condensate 
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  1. 1.
    Y. Nambu and O. Jona-Lasinio,Phys. Rev.,122, 345 (1961); V. G. Vaks and A. I. Larkin,Zh. Eksp. Teor. Fiz.,40, 282, 1392 (1961); B. A. Arbuzov, A. N. Tavkhelidze, and R. N. Faustov,Dokl. Akad. Nauk SSSR,139, 345 (1961).Google Scholar
  2. 2.
    D. J. Gross and A. Neveu,Phys. Rev. D,10, 3235 (1974).Google Scholar
  3. 3.
    B. Resenstein, B. J. Warr, and S. J. Park,Phys. Rep.,205, 59 (1991).Google Scholar
  4. 4.
    A. V. Kulikov and V. E. Rochev,Yad. Fiz.,39, 457 (1984);40, 526 (1984); P. M. Fishbane, R. E. Norton, and T. N. Truong,Phys. Rev. D,46, 1768 (1992).Google Scholar
  5. 5.
    M. K. Volkov,Fiz. Elem. Chastits At. Yadra,17, 433 (1986);24, 81 (1993); M. K. Volkov and V. N. Pervushin,Essentially Nonlinear Quantum Theories, Dynamical Symmetries, and Meson Physics [in Russian], Atomizdat, Moscow (1978); V. P. Gusynin and V. A. Miranskii,Zh. Eksp. Teor. Fiz.,101, 414 (1992); A. A. Andrianov and V. A. Andrianov,Teor. Mat. Fiz.,94, 6 (1993).Google Scholar
  6. 6.
    V. A. Miranskii and P. I. Fomin,Fiz. Elem. Chastits At. Yadra,16, 469 (1985).Google Scholar
  7. 7.
    S. Kawati, G. Konisi, and H. Miyata,Phys. Rev. D,28, 1537 (1983); S. P. Klevansky and R. H. Lemmer,Phys. Rev. D,39, 3478 (1989); I. L. Bukhbinder and E. N. Kirillova,Izv. Vyssh. Uchebn. Zaved. Fiz.,32, 44 (1989).Google Scholar
  8. 8.
    I. V. Krive and S. A. Naftulin,Yad. Fiz.,54, 1471 (1991).Google Scholar
  9. 9.
    K. G. Klimenko,Teor. Mat. Fiz.,89, 211, 388 (1991);90, 3 (1992).Google Scholar
  10. 10.
    S. G. Matinyan and P. Savvidy,Nucl. Phys. B,134, 539 (1978); N. K. Nielsen and P. Olesen,Nucl. Phys. B,144, 376 (1978);160, 380 (1979); J. Ambjorn and P. Olesen,Nucl. Phys. B,170, 60, 265 (1980).Google Scholar
  11. 11.
    A. Kabo and A. E. Shabad,Tr. Fiz. Inst. Akad. Nauk,192, 153 (1988).Google Scholar
  12. 12.
    L. S. Brown and W. I. Weisberger,Nucl. Phys. B,157, 285 (1979); T. Saito and K. Shigemoto,Prog. Theor. Phys.,62, 256 (1980).Google Scholar
  13. 13.
    V. G. Bagrov, A. S. Vshivtsev, and S. V. Ketov,Additional Chapters of Mathematical Physics (Gauge Fields) [in Russian]. Toresk University, Tomsk (1990).Google Scholar
  14. 14.
    A. S. Vshivtsev, V. Ch. Zhukovskii, O. F. Semenov, and A. V. Tatarintsev,Izv. Vyssh. Uchebn. Zaved. Fiz.,30, 12 (1987).Google Scholar
  15. 15.
    A. N. Vasil'ev,Functional Methods in Quantum Field Theory and Statistics [in Russian], State University, Leningrad (1976).Google Scholar
  16. 16.
    S. Weinberg, “Critical phenomena for field theories,” in:Understanding the Fundamental Constituents of Matter, ed. A. Zichichi, Plenum Press, New York (1976).Google Scholar
  17. 17.
    A. P. Prudnikov, Yu. A. Brychkov, and O. I. Marichev,Integrals and Series [in Russian], Nauka, Moscow (1981), p. 364.Google Scholar
  18. 18.
    A. Érdelyi et al. (eds.),High Transcendental Functions, (California Institute of Technology H. Bateman M.S. Project), 3 vols, McGraw Hill, New York (1953, 1955) [p. 40 and p. 62 of the Russian translation published by Nauka, Moscow (1965)].Google Scholar
  19. 19.
    E. T. Whittaker and G. N. Watson,A Course of Modern Analysis, 4th ed., Cambridge University Press (1927).Google Scholar
  20. 20.
    A. S. Vshivtsev and V. K. Peres-Fernandes,Dokl. Akad. Nauk SSSR,309, 70 (1989).Google Scholar
  21. 21.
    A. S. Vshivtsev, Yu. M. Loskutov, and V. V. Skobelev,Teor. Mat. Fiz.,84, 372 (1990).Google Scholar
  22. 22.
    G. Baskaran and P. W. Anderson,Phys. Rev. B,37, 580 (1988); P. B. Wiegmann,Phys. Rev. Lett.,60, 821 (1988).Google Scholar
  23. 23.
    G. Ferretti, S. G. Rajeev, and Z. Yang,Int. J. Mod. Phys. A,7, 7989 (1992).Google Scholar

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© Plenum Publishing Corporation 1995

Authors and Affiliations

  • A. S. Vshivtsev
  • K. G. Klimenko
  • V. V. Magnitskii

There are no affiliations available

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