Skip to main content
SpringerLink
Log in

Effective quark Lagrangian in the instanton vacuum with nonzero modes included

  • Fields, Particles, and Nuclei
  • Published:
Journal of Experimental and Theoretical Physics Letters Aims and scope Submit manuscript

Abstract

A new approach to the effective theory of quarks in the instanton vacuum is presented. Exact equations for the quark propagator and Lagrangian are derived which contain contributions of all quark modes with known coefficients. The resulting effective Lagrangian differs from the standard one and resembles that of the Nambu-Jona-Lasinio model.

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. M. C. Chu, J. M. Grandy, S. Huang, and J. W. Negele, Phys. Rev. Lett. 70, 225 (1993); Phys. Rev. D 49, 6039 (1994).

    Article  ADS  Google Scholar 

  2. E. V. Shuryak, Rev. Mod. Phys. 65, 1 (1993).

    Article  ADS  Google Scholar 

  3. D. Diakonov and V. Petrov, Nucl. Phys. B 272, 457 (1986).

    ADS  Google Scholar 

  4. E. V. Shuryak, Nucl. Phys. B 302, 559, 574, 599 (1988).

    ADS  Google Scholar 

  5. D. Diakonov and V. Petrov, Preprint LNPI-1153 (1986); D. Diakonov and V. Petrov, in Quark Cluster Dynamics, Lecture Notes in Physics, Springer-Verlag, 1992, p. 288.

  6. M. A. Nowak, J. J. M. Verbaarschot, and I. Zahed, Phys. Lett. B 228, 251 (1989); Nucl. Phys. B 324, 1 (1989).

    ADS  MathSciNet  Google Scholar 

  7. Yu. A. Simonov, Yad. Fiz. 57, 1491 (1994) [Phys. At. Nucl. 57, 1418 (1994)].

    Google Scholar 

  8. C. Callan, R. Dashen, and D. Gross, Phys. Rev. D 17, 2717 (1978).

    Article  ADS  Google Scholar 

  9. N. Andrei and D. J. Gross, Phys. Rev. D 18, 468 (1978).

    Article  ADS  Google Scholar 

  10. H. Levine and L. G. Yaffe, Phys. Rev. D 19, 1225 (1979).

    ADS  MathSciNet  Google Scholar 

  11. E. V. Shuryak and J. J. M. Verbaarschot, Nucl. Phys. B 410, 37 (1993).

    ADS  Google Scholar 

  12. T. Wettig, A. Schäfer, and H. A. Weidenmüller, Phys. Lett. B 367, 28 (1996).

    ADS  Google Scholar 

  13. T. Banks and A. Casher, Nucl. Phys. B 169, 103 (1980).

    Article  ADS  MathSciNet  Google Scholar 

  14. A. I. Baz’, Ya. B. Zeldovich, and A. M. Perelomov, Scattering, Reactions and Decays in Nonrelativistic Quantum Mechanics, Moscow, Nauka, 1971; B. Sakita, Quantum Theory of Many-Variable Systems and Fields, World Scientific, 1985.

    Google Scholar 

  15. C. Lovelace, Phys. Rev. 135, B122 (1964).

    Article  MathSciNet  Google Scholar 

  16. Y. Nambu and G. Jona-Lasinio, Phys. Rev. 122, 345 (1961).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Theoretical and Experimental Physics, 117259, Moscow, Russia

    B. O. Kerbikov, D. S. Kuzmenko & Yu. A. Simonov

Authors
  1. B. O. Kerbikov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. D. S. Kuzmenko
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Yu. A. Simonov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Pis’ma Zh. Éksp. Teor. Fiz. 65, No. 2, 128–132 (25 January 1997)

Published in English in the original Russian journal. Edited by Steve Torstveit.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kerbikov, B.O., Kuzmenko, D.S. & Simonov, Y.A. Effective quark Lagrangian in the instanton vacuum with nonzero modes included. Jetp Lett. 65, 137–141 (1997). https://doi.org/10.1134/1.567303

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1134/1.567303

PACS numbers

Search

Navigation