Skip to main content

Non-Perturbative Propagators in QCD

  • Chapter
  • 75 Accesses

Abstract

Over the last two decades it has become clear that perturbation theory can only give us very limited information about QCD. For example it is not sufficient to describe that most basic of things, the mass spectrum. Although, we may hope one day to gain from the lattice approach numerical confirmation that we have the correct Lagrangian to describe hadronic physics, that day is not at hand. In the meantime it will be argued here, the operator product expansion (OPE) offers us some useful non-perturbative information about the structure of QCD.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   109.99
Price excludes VAT (USA)
  • Durable hardcover 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. S.L. Adler, Nucl. Phys. B (Proc. Supp.) 9 (1989) 437.

    Article  ADS  Google Scholar 

  2. J. Ahlbach, Diploma Thesis, München (1992).

    Google Scholar 

  3. M.R. Ahmady, V. Elias and R.R, Mendel, Phys. Rev. D44 (1991) 263. [Ba85] G.G. Batrouni et al, Phys. Rev. D32 (1985) 2736.

    Google Scholar 

  4. H. Cheng and E.C. Tsai, Phys. Rev. D36 (1987) 3196.

    ADS  Google Scholar 

  5. ESS88] V. Elias, T.G. Steele and M.D. Scadron, Phys. Rev. D38 (1988) 1584, and references therein.

    Google Scholar 

  6. For references, see e.g. T. Hatsuda, Seattle preprint 1991, INT91–00–08. [Hae90] U. Häbel et al, Z. Phys. A336 (1990) 423, 435

    Google Scholar 

  7. M. Jamin and M. Münz, Munich preprint 1992, TUM-T31–21/92, and references therein

    Google Scholar 

  8. W. Kummer and J. Weiser, Z. Phys. C31 (1986) 105.

    MathSciNet  Google Scholar 

  9. T.I. Larsson, Phys. Rev. D30 (1985) 956.

    MathSciNet  Google Scholar 

  10. P.V. Landshoff, Phys. Rev. D35 (1987) 766.

    ADS  Google Scholar 

  11. M. Lavelle and D. McMullan, Mod. Phys. Lett. A7 (1992) 219.

    Google Scholar 

  12. LM92b] M. Lavelle and D. McMullan, Mainz/Dublin Preprint, MZ/TH 92–29, DIAS-STP-92–13.

    Google Scholar 

  13. M.J. Lavelle and M. Oleszczuk, Z. Phys. C51 (1991) 615.

    Google Scholar 

  14. M.J. Lavelle and M. Oleszczuk, Phys. Lett. B275 (1992) 133. [LO92b] M. Lavelle and M. Oleszczuk, Mainz preprint 1992, MZ-TH/92–33. [LS88] M.J. Lavelle and M. Schaden, Phys. Lett. B208 (1988) 297.

    Google Scholar 

  15. M.J. Lavelle and M. Schaden, in “Physical and Nonstandard Gauges”,Ed. P.,Gaigg et al, Springer-Verlag, Berlin Heidelberg 1990.

    Google Scholar 

  16. M.J. Lavelle, E. Werner and S. Glazek, Few-Body Systems, Suppl. 2, 519, Springer-Verlag 1987.

    Google Scholar 

  17. G. Modanese, J. Math. Phys. 33 (1992) 1523.

    Google Scholar 

  18. S.V. Mikhailov and A.V. Radyushkin, JETP Lett. 43 (1986) 712.

    ADS  Google Scholar 

  19. For a review see, e.g., S. Narison, “QCD Spectral Sum Rules”, World Scientific, Singapore 1990.

    Google Scholar 

  20. H.D. Politzer, Nucl. Phys. B117 (1976) 397.

    Article  ADS  Google Scholar 

  21. P. Pascual and E. de Rafael, Z. Phys. C12 (1982) 12.

    Google Scholar 

  22. P. Pascual and R. Tarrach, “QCD: Renormalisation for the Practicioner”, Springer Verlag, Berlin 1984.

    Book  Google Scholar 

  23. L.J. Reinders and K. Stam, Phys. Lett. B180 (1986) 125.

    Google Scholar 

  24. Sch90] M. Schaden et al, Nucl. Phys. B339 (1990) 595; P.A. Amundsen and M. Schaden, Stavanger preprint 1992, 159; see also the contribution of H. Reinhardt to these proceedings.

    Google Scholar 

  25. A. Streibl, Diploma thesis, München (1992).

    Google Scholar 

  26. SVZ76] M.A. Shifman, A.I. Vainshtein and V.I. Zakharov, Nucl. Phys. B147 (1976) 397; see also the contribution of W.-Y. Hwang to these proceedings.

    Google Scholar 

  27. R. Tarrach, Nucl. Phys. B183 (1981) 384.

    Article  ADS  Google Scholar 

  28. F.J. Yndurâin, “Quantum Chromodynamics”, Springer-Verlag, New York 1983.

    Google Scholar 

  29. F.J. Yndurâin, Z. Phys. C42 (1989) 653.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1994 Springer Science+Business Media New York

About this chapter

Cite this chapter

Lavelle, M. (1994). Non-Perturbative Propagators in QCD. In: Goeke, K., Hwang, WY.P., Speth, J. (eds) Contemporary Topics in Medium Energy Physics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-9835-7_5

Download citation

  • DOI: https://doi.org/10.1007/978-1-4757-9835-7_5

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-9837-1

  • Online ISBN: 978-1-4757-9835-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics