Theoretical and Mathematical Physics

, Volume 71, Issue 1, pp 352–359 | Cite as

Particular solutions of the equations for the lowest Green's functions in the infrared region of quantum chromodynamics

  • B. A. Arbuzov
  • A. I. Davydychev
Article

Keywords

Infrared Region Quantum Chromodynamics 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literature Cited

  1. 1.
    M. Baker and F. Zachariasen, Phys. Lett. B,108, 206 (1982).Google Scholar
  2. 2.
    H. Pagels, Phys. Rev. D,15, 2991 (1977).Google Scholar
  3. 3.
    G. V. Efimov, “Infrared asymptotic behavior and confinement”, Preprint R2-84-716 [in Russian], JINR, Dubna (1984).Google Scholar
  4. 4.
    S. Mandelstam, Phys. Rev. D,20, 3223 (1979); M. Baker, J. S. Ball, and F. Zachariasen, Nucl. Phys. B,186, 531 (1981).Google Scholar
  5. 5.
    A. I. Alekseev, B. A. Arbuzov, and V. A. Baikov, Teor. Mat. Fiz.,52, 187 (1982).Google Scholar
  6. 6.
    A. A. Slavnov, Teor. Mat. Fiz.,10, 153 (1972); J. C. Taylor, Nucl. Phys. B,33, 436 (1971).Google Scholar
  7. 7.
    A. I. Alekseev, B. A. Arbuzov, and V. A. Baikov, Yad. Fiz.,34, 1374 (1981).Google Scholar
  8. 8.
    J. S. Ball and F. Zachariasen, “The quark propagator in axial gauge”, Preprint CALT-68-841, Caltech, Pasadena (1981).Google Scholar
  9. 9.
    A. A. Slavnov, Teor. Mat. Fiz.,54, 52 (1983).Google Scholar
  10. 10.
    B. A. Arbuzov, “Particular solution of the system of equations for the lowest Green's functions in Abelian chromodynamics and parameters of the gluon and quark condensates in QCD”, Preprint 85-55 [in Russian], Institute of High Energy Physics, Serpukhov (1985).Google Scholar
  11. 11.
    A. A. Slavnov and L. D. Faddeev, Gauge Fields, Introduction to Quantum Theory (Frontiers in Physics, Vol. 50), Reading, Mass. (1980).Google Scholar
  12. 12.
    C. Becchia, A. Rouet, and R. Stora, Commun. Math. Phys.,42, 127 (1975); I. V. Tyutin, “Gauge invariance in field theory and statistical physics in the operator formulation”, Preprint No. 39 [in Russian], P. N. Lebedev Physics Institute, Moscow (1975).Google Scholar
  13. 13.
    B. A. Arbuzov, V. A. Baikov, É. É. Boos, and S. S. Kurennoi, Yad. Fiz.,38, 1340 (1982).Google Scholar
  14. 14.
    L. D. Solov'ev, Dokl. Akad. Nauk SSSR,110, 203 (1956); D. R. Yennie, S. C. Frautschi, and H. Suura, Ann. Phys. (N.Y.),13, 379 (1961).Google Scholar
  15. 15.
    E. J. Eichten and F. L. Feinberg, Phys. Rev. D,10, 3254 (1974).Google Scholar
  16. 16.
    F. Paccanoni, Nuovo Cimento A,88, 427 (1985).Google Scholar
  17. 17.
    B. A. Arbuzov and S. S. Kurennoi, Yad. Fiz.,36, 1314 (1982).Google Scholar
  18. 18.
    E. S. Fradkin, Zh. Eksp. Teor. Fiz.,29, 258 (1955); Y. Takahashi, Nuovo Cimento,6, 371 (1957).Google Scholar
  19. 19.
    G. 't Hooft and M. Veltman, Nucl. Phys. B,44, 189 (1972).Google Scholar
  20. 20.
    G. Leibbrandt, Rev. Mod. Phys.,47, 849 (1975).Google Scholar
  21. 21.
    B. A. Arbuzov, Dokl. Akad. Nauk SSSR,128, 1149 (1959).Google Scholar
  22. 22.
    B. A. Arbuzov and A. T. Filippov, Nuovo Cimento,38, 796 (1965).Google Scholar
  23. 23.
    A. V. Kulikov, M. L. Nekrasov, and V. E. Rochev, “On an approximation of QCD at large N”, Preprint 84-201 [in Russian], Institute of High Energy Physics, Serpukhov (1984).Google Scholar
  24. 24.
    B. A. Arbuzov, E. E. Boos, and K. Sh. Turashvili, “Approach to calculation of the infrared region contribution to vacuum expectation values of gluonic and quark fields”, Preprint 85-117 [in English], Institute of High Energy Physics, Serpukhov (1985).Google Scholar

Copyright information

© Plenum Publishing Corporation 1987

Authors and Affiliations

  • B. A. Arbuzov
  • A. I. Davydychev

There are no affiliations available

Personalised recommendations