Skip to main content
SpringerLink
Log in

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

  • Published:
Theoretical and Mathematical Physics Aims and scope Submit manuscript

Abstract

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  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. D. J. Gross and A. Neveu,Phys. Rev. D,10, 3235 (1974).

    Google Scholar 

  3. B. Resenstein, B. J. Warr, and S. J. Park,Phys. Rep.,205, 59 (1991).

    Google Scholar 

  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. 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. V. A. Miranskii and P. I. Fomin,Fiz. Elem. Chastits At. Yadra,16, 469 (1985).

    Google Scholar 

  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. I. V. Krive and S. A. Naftulin,Yad. Fiz.,54, 1471 (1991).

    Google Scholar 

  9. K. G. Klimenko,Teor. Mat. Fiz.,89, 211, 388 (1991);90, 3 (1992).

    Google Scholar 

  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. A. Kabo and A. E. Shabad,Tr. Fiz. Inst. Akad. Nauk,192, 153 (1988).

    Google Scholar 

  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. 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. A. S. Vshivtsev, V. Ch. Zhukovskii, O. F. Semenov, and A. V. Tatarintsev,Izv. Vyssh. Uchebn. Zaved. Fiz.,30, 12 (1987).

    Google Scholar 

  15. A. N. Vasil'ev,Functional Methods in Quantum Field Theory and Statistics [in Russian], State University, Leningrad (1976).

    Google Scholar 

  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. A. P. Prudnikov, Yu. A. Brychkov, and O. I. Marichev,Integrals and Series [in Russian], Nauka, Moscow (1981), p. 364.

    Google Scholar 

  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. E. T. Whittaker and G. N. Watson,A Course of Modern Analysis, 4th ed., Cambridge University Press (1927).

  20. A. S. Vshivtsev and V. K. Peres-Fernandes,Dokl. Akad. Nauk SSSR,309, 70 (1989).

    Google Scholar 

  21. A. S. Vshivtsev, Yu. M. Loskutov, and V. V. Skobelev,Teor. Mat. Fiz.,84, 372 (1990).

    Google Scholar 

  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. G. Ferretti, S. G. Rajeev, and Z. Yang,Int. J. Mod. Phys. A,7, 7989 (1992).

    Google Scholar 

Download references

Authors
  1. A. S. Vshivtsev
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. K. G. Klimenko
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. V. V. Magnitskii
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Institute of High Energy Physics. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 101, No. 3, pp. 391–401, December, 1994.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Vshivtsev, A.S., Klimenko, K.G. & Magnitskii, V.V. Three-dimensional Gross-Neveu model in external chromomagnetic fields at finite temperature. Theor Math Phys 101, 1436–1442 (1994). https://doi.org/10.1007/BF01035465

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01035465

Keywords

Search

Navigation