Advertisement

Recent Developments In 1/N Expansion for QCD and Matrix Models

  • A. A. Slavnov
Conference paper
Part of the Acta Physica Austriaca book series (FEWBODY, volume 25/1983)

Abstract

Development of a reliable calculational scheme for low energy quantum chromodynamics (QCD) is at the moment one of the most urgent problems for quantum field theory. Computer calculations and lattice space-time formulation of the theory present a possible way to attack the problem where the most active researches were carried out last years. Another possibility is given by analytical approximation methods dealing with the theory in the continuous space-time.

Keywords

Matrix Model Vacuum Energy Steep Descent Method Gluon Propagator Planar Diagram 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    S. Coleman, E. Weinberg, Phys. Rev. D7 (1973) 1888.ADSGoogle Scholar
  2. 2.
    D. Gross, A. Neveu, Phys. Rev. D10 (1974) 3235.ADSGoogle Scholar
  3. 3.
    L.E. Carneiro et al., Nucl. Phys. B183 (1981) 445.CrossRefADSGoogle Scholar
  4. 4.
    A. Andrasi et al., Nucl. Phys. B182 (1981) 104.CrossRefADSGoogle Scholar
  5. 5.
    G. ’t Hooft, Nucl. Phys. B72 (1974) 461.CrossRefADSGoogle Scholar
  6. 6.
    G. ’t Hooft, Nucl. Phys. B75 (1974) 461.CrossRefADSGoogle Scholar
  7. 7.
    S. Coleman, R. Jackiw, H Politzer, Phys. Rev. D10 (1974) 242.Google Scholar
  8. 8.
    M Kobayashi, T. Kugo, Progr. Theor. Phys.! 54 (1975) 1537.CrossRefGoogle Scholar
  9. 9.
    I.Ya. Arefieva, Ann. Phys. 117 (1979) 393.CrossRefADSGoogle Scholar
  10. 10.
    C. Callan, W. Coote, D. Gross, Phys. Rev. D13 (1976) 1649.ADSGoogle Scholar
  11. 11.
    E. Witten, Nucl. Phys. B160 (1974) 57.ADSGoogle Scholar
  12. 12.
    I.Ya. Arefieva, A.A. Slavnov, Lectures in the XIV. International School of Young Scientists, Dubna 1980.Google Scholar
  13. 13.
    E. Brezin, C. Itzykson, G. Parisi, J-B. Zuber, Com. Math. Phys. 59 (1978) 35.CrossRefMATHADSMathSciNetGoogle Scholar
  14. 14.
    Yu.M. Makeenko, A.A. Migdal, Phys. Let. 88B, (1979) 135ADSGoogle Scholar
  15. 15.
    T.L. Gervais, A. Neveu, Nucl. Phys. B153 (1979) 445.CrossRefADSGoogle Scholar
  16. 16.
    A.A. Migdal, Ann. of Phys. 126 (1980) 279.CrossRefADSMathSciNetGoogle Scholar
  17. 17.
    Yu.M. Makeenko, A.A. Migdal, Yad. Phys. 32 (1980) 848.Google Scholar
  18. 18.
    A.M. Polyakov, Nucl. Phys. B164 (1980) 171.CrossRefADSMathSciNetGoogle Scholar
  19. 19.
    I.Ya. Arefieva, Phys. Lett. 104B, (1981) 453.ADSGoogle Scholar
  20. 20.
    T. Eguchi, H. Kavai, Phys. Rev. Lett. 48 (1982) 1063.CrossRefADSGoogle Scholar
  21. 21.
    G. Bhanot, U. Heller, H. Neuberger, Phys. Lett. 113B (1982) 47ADSGoogle Scholar
  22. G. Bhanot, U. Heller, H. Neuberger, Phys. Lett. 115B (1982) 237.ADSGoogle Scholar
  23. 22.
    G. Parisi, Phys. Lett. 112B (1982) 463.ADSMathSciNetGoogle Scholar
  24. 23.
    G. Parisi, Zhang-Yi-Cheng, Phys. Lett. 114B (1982) 319.ADSGoogle Scholar
  25. 24.
    D. Gross, Y. Kitazawa, Princeton University Preprint PRE2564. (1982)Google Scholar
  26. 25.
    S. Edwards, P. Anderson, T. Ph. F-5 (1975) 965.ADSGoogle Scholar
  27. 26.
    I.Ya. Arefieva, Theor. Math. Phys. 54 (1983) 154.Google Scholar
  28. 27.
    S.V. Tyablicov, Methods of Quantum Theory of Magnetism, Moscow, Nauka, 1965.Google Scholar
  29. 28.
    D. Greensite, B. Halpern, Berkeley Preprint B-PTH-82/14.Google Scholar
  30. 29.
    A.A. Slavnov, Phys. Lett. 112B (1982) 154.ADSMathSciNetGoogle Scholar
  31. 30.
    A.A. Slavnov, Theor. Math. Phys. 51 (1982) 307.CrossRefGoogle Scholar
  32. 31.
    D. Ebert, V.N. Pervushin, Theor. Math. Phys. 36 (1978) 313.Google Scholar
  33. 32.
    A.A. Slavnov, Theor. Math. Phys. 54 (1983) 46.CrossRefGoogle Scholar
  34. 33.
    A.A. Slavnov, Theor. Math. Phys. in print.Google Scholar
  35. 34.
    M. Aizenman, Com. Math. Phys. 86 (1982) 151.CrossRefMathSciNetGoogle Scholar
  36. 35.
    J. Fsröhlich, Nucl. Phys. B200 (1982) 281.CrossRefADSGoogle Scholar
  37. 36.
    G.’Hooft, Utrecht University Preprints (1982).Google Scholar

Copyright information

© Springer-Verlag/Wien 1983

Authors and Affiliations

  • A. A. Slavnov
    • 1
  1. 1.Steklov Inst.MoscowRussia

Personalised recommendations