Skip to main content
SpringerLink
Log in

Fermion condensation in the field strength approach to non-abelian yang-mills theories

  • Published:
Zeitschrift für Physik A Hadrons and Nuclei

Abstract

Within the field strength approach to Yang-Mills theories the fermionic sectors of gauge theories are bosonized for the SU(2) and SU(3) gauge group. The emerging effective meson theories are studied in the tree approximation. In this approximation the original minimal gauge coupling of the quarks to gluons is rendered into an effective local four-fermion interaction with non-trivial Lorentz and gauge structure. The Schwinger-Dyson equation is solved in the strong coupling limit and the quark condensates and constituent masses are evaluated.

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. Miransky, V.A., Tanabashi, M., Yamawaki, K.: Mod. Phys. Lett. A4, 1043 (1989); Phys. Lett. B221, 177 (1991) Bardeen, W.A., Hill, C.T., Lindner, M.: Phys. Rev. D41, 1647 (1990)

    Google Scholar 

  2. Halpern, M.B.: Phys. Rev. D16, 1798, 3515 (1977)

    Google Scholar 

  3. Schaden, M., Reinhardt, H., Amundsen, P., Lavelle, M.: Nucl. Phys. B339, 595 (1990)

    Google Scholar 

  4. Reinhardt, H.: Phys. Lett. B248, 365 (1990)

    Google Scholar 

  5. Reinhardt, H.: Field Strength Approach to QCD. Invited talk presented at the X. International Seminar on High-Energy Physics Problems, Relativistic Nuclear Physics and Quantum Chromodynamics, Dubna, September 24–29 1990 (University of Tübingen, Preprint)

  6. Nambu, Y., Jona-Lasinio, G.: Phys. Rev.122, 345 (1961);124, 246 (1961)

    Google Scholar 

  7. Reinhardt, H.: Phys. Lett. B257, 375 (1991)

    Google Scholar 

  8. Reinhardt, H.: University of Tübingen Preprint (June 1991); Nucl. Phys. B (submitted)

  9. Derrick, G.H.: J. Math Phys.5 1252 (1964)

    Google Scholar 

  10. 't Hooft, G.: Phys. Rev. D14, 3432 (1976)

    Google Scholar 

  11. Alkofer, R., Reinhardt, H.: J. Phys. G17, L121 (1991)

    Google Scholar 

  12. Ebert, D., Reinhardt, H.: Nucl. Phys. B271, 188 (1986); Reinhardt, H., Alkofer, R.: Phys. Lett. B207, 482 (1988); Alkofer, R., Reinhardt, H.: Z. Phys. C — Particles and Fields45 245 (1989)

    Google Scholar 

  13. Novikov, V.A., Shifman, M.A., Vainshtein, A.I., Zakharov, V.I.: Phys. Rep.116, 103 (1984)

    Google Scholar 

  14. Gusynin, V.P., Miranski, V.A.: Phys. Lett. B198, 79 (1987)

    Google Scholar 

  15. Langfeld, K., Schaden, M.: TU München, Preprint

  16. Ynduráin, F.J.: Quantum chromodynamics. Berlin, Heidelberg, New York: Springer 1983

    Google Scholar 

  17. Narison, S.: Riv. Nuovo Cimento10, 1 (1987)

    Google Scholar 

  18. Reinhardt, H.: Phys. Lett B244, 316 (1990)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institut für Theoretische Physik, Universität Tübingen, Auf der Morgenstelle 14, W-7400, Tübingen, Federal Republic of Germany

    R. Alkofer & H. Reinhardt

Authors
  1. R. Alkofer
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. H. Reinhardt
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Supported in part by the Deutsche Forschungsgemeinschaft (DFG) under contract Re 856/1-1

Rights and permissions

Reprints and permissions

About this article

Cite this article

Alkofer, R., Reinhardt, H. Fermion condensation in the field strength approach to non-abelian yang-mills theories. Z. Physik A - Hadrons and Nuclei 343, 79–101 (1992). https://doi.org/10.1007/BF01291601

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01291601

PACS

Search

Navigation