Skip to main content

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

  • Conference paper
Recent Developments in High-Energy Physics

Part of the book series: Acta Physica Austriaca ((FEWBODY,volume 25/1983))

  • 128 Accesses

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.

Lectures given at the XXII. Internationale Universitätswochen für Kernphysik, Schladming, Austria, February 23–March 5, 1983.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. S. Coleman, E. Weinberg, Phys. Rev. D7 (1973) 1888.

    ADS  Google Scholar 

  2. D. Gross, A. Neveu, Phys. Rev. D10 (1974) 3235.

    ADS  Google Scholar 

  3. L.E. Carneiro et al., Nucl. Phys. B183 (1981) 445.

    Article  ADS  Google Scholar 

  4. A. Andrasi et al., Nucl. Phys. B182 (1981) 104.

    Article  ADS  Google Scholar 

  5. G. ’t Hooft, Nucl. Phys. B72 (1974) 461.

    Article  ADS  Google Scholar 

  6. G. ’t Hooft, Nucl. Phys. B75 (1974) 461.

    Article  ADS  Google Scholar 

  7. S. Coleman, R. Jackiw, H Politzer, Phys. Rev. D10 (1974) 242.

    Google Scholar 

  8. M Kobayashi, T. Kugo, Progr. Theor. Phys.! 54 (1975) 1537.

    Article  Google Scholar 

  9. I.Ya. Arefieva, Ann. Phys. 117 (1979) 393.

    Article  ADS  Google Scholar 

  10. C. Callan, W. Coote, D. Gross, Phys. Rev. D13 (1976) 1649.

    ADS  Google Scholar 

  11. E. Witten, Nucl. Phys. B160 (1974) 57.

    ADS  Google Scholar 

  12. I.Ya. Arefieva, A.A. Slavnov, Lectures in the XIV. International School of Young Scientists, Dubna 1980.

    Google Scholar 

  13. E. Brezin, C. Itzykson, G. Parisi, J-B. Zuber, Com. Math. Phys. 59 (1978) 35.

    Article  MATH  ADS  MathSciNet  Google Scholar 

  14. Yu.M. Makeenko, A.A. Migdal, Phys. Let. 88B, (1979) 135

    ADS  Google Scholar 

  15. T.L. Gervais, A. Neveu, Nucl. Phys. B153 (1979) 445.

    Article  ADS  Google Scholar 

  16. A.A. Migdal, Ann. of Phys. 126 (1980) 279.

    Article  ADS  MathSciNet  Google Scholar 

  17. Yu.M. Makeenko, A.A. Migdal, Yad. Phys. 32 (1980) 848.

    Google Scholar 

  18. A.M. Polyakov, Nucl. Phys. B164 (1980) 171.

    Article  ADS  MathSciNet  Google Scholar 

  19. I.Ya. Arefieva, Phys. Lett. 104B, (1981) 453.

    ADS  Google Scholar 

  20. T. Eguchi, H. Kavai, Phys. Rev. Lett. 48 (1982) 1063.

    Article  ADS  Google Scholar 

  21. G. Bhanot, U. Heller, H. Neuberger, Phys. Lett. 113B (1982) 47

    ADS  Google Scholar 

  22. G. Bhanot, U. Heller, H. Neuberger, Phys. Lett. 115B (1982) 237.

    ADS  Google Scholar 

  23. G. Parisi, Phys. Lett. 112B (1982) 463.

    ADS  MathSciNet  Google Scholar 

  24. G. Parisi, Zhang-Yi-Cheng, Phys. Lett. 114B (1982) 319.

    ADS  Google Scholar 

  25. D. Gross, Y. Kitazawa, Princeton University Preprint PRE2564. (1982)

    Google Scholar 

  26. S. Edwards, P. Anderson, T. Ph. F-5 (1975) 965.

    ADS  Google Scholar 

  27. I.Ya. Arefieva, Theor. Math. Phys. 54 (1983) 154.

    Google Scholar 

  28. S.V. Tyablicov, Methods of Quantum Theory of Magnetism, Moscow, Nauka, 1965.

    Google Scholar 

  29. D. Greensite, B. Halpern, Berkeley Preprint B-PTH-82/14.

    Google Scholar 

  30. A.A. Slavnov, Phys. Lett. 112B (1982) 154.

    ADS  MathSciNet  Google Scholar 

  31. A.A. Slavnov, Theor. Math. Phys. 51 (1982) 307.

    Article  Google Scholar 

  32. D. Ebert, V.N. Pervushin, Theor. Math. Phys. 36 (1978) 313.

    Google Scholar 

  33. A.A. Slavnov, Theor. Math. Phys. 54 (1983) 46.

    Article  Google Scholar 

  34. A.A. Slavnov, Theor. Math. Phys. in print.

    Google Scholar 

  35. M. Aizenman, Com. Math. Phys. 86 (1982) 151.

    Article  MathSciNet  Google Scholar 

  36. J. Fsröhlich, Nucl. Phys. B200 (1982) 281.

    Article  ADS  Google Scholar 

  37. G.’Hooft, Utrecht University Preprints (1982).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1983 Springer-Verlag/Wien

About this paper

Cite this paper

Slavnov, A.A. (1983). Recent Developments In 1/N Expansion for QCD and Matrix Models. In: Mitter, H., Lang, C.B. (eds) Recent Developments in High-Energy Physics. Acta Physica Austriaca, vol 25/1983. Springer, Vienna. https://doi.org/10.1007/978-3-7091-7651-1_10

Download citation

  • DOI: https://doi.org/10.1007/978-3-7091-7651-1_10

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-7091-7653-5

  • Online ISBN: 978-3-7091-7651-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics