Skip to main content
SpringerLink
Log in

Determination of bilocal field in GCM theory and calculation of some properties of mesons

  • Published:
Science in China Series A: Mathematics Aims and scope Submit manuscript

Abstract

Through theoretical derivation, the vacuum configuration of the bilocal field in GCM is equivalent to dynamical mass of quarks. Under the approximation of instanton dilute liquid. an analytical expression for the vacuum configuration is obtained. Based on it, the decay constants and masses of π and σ mesons are calculated. The results are much more improved than those given by the previous GCM calculations.

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. Cahill, R. T., Roberts, C. D., Soliton bag models of hadrons from QCD,Phys. Rev., 1985, D32:2419.

    Google Scholar 

  2. Robert, C. D.. Cahill, R. T., Praschifks, J., The effective action for the goldstone modes in a global color symmetry model of QCD,Ann. Phys., 1988, 188:20.

    Article  Google Scholar 

  3. Cahill, R. T., Hadronic Laws from QCD,Nucl. Phys., 1992, A543:63c.

    Google Scholar 

  4. Robert, C. D., Cahill, R. T., Sevior, M. E.et al., π-π Scattering in a QCD-based model field theory,Phre. REV., 1994, D49:125.

    Google Scholar 

  5. Gross, D. J., Wilczek, F., Ultraviolet behavior of non-abelian gauge theories,Phys. Rev. Lett., 1973, 30:1343.

    Article  Google Scholar 

  6. Politzer, H. D., Reliable perturbative results for strong interactions,Phys. Rev. Lett., 1973, 30:1346.

    Article  Google Scholar 

  7. Shuryak, E. V., Theory and phenomenology of the QCD vacuum,Phys. Rep., 1984, 115:151.

    Article  Google Scholar 

  8. Dyakonov, D. I., Yu, P. X., A theory of light quarks in the instanton vacuum,Nucl. Phys., 1986, B272: 457.

    Article  Google Scholar 

  9. Takeuchi, S., Oka, M., Instanton induced interaction in strange systems,Nucl. Phys., 1992, A547: 283C.

    Google Scholar 

  10. Forkel, H., Banerjee, M. K., Direct instantons in QCD nucleon sum rules,Phys. Rev. Lett., 1993, 71: 484.

    Article  Google Scholar 

  11. Kim, M., Banerjee, M. K., Role of instantons in a chiral confining model,Phys. Rev., 1993, C48: 2035.

    Google Scholar 

  12. Serot, B.D., Walecka, J. D., The relativistic nuclear many-body problem, inAdvances in Nuclear Physics (eds. Negele, J. W., Vogt, E.), Vol. 16, New York: Plenum Press, 1986.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, Sichuan University, 610064, Chengdu, China

    Xiaofu Lü

  2. Institute of Theoretical Physics, Chinese Academy of Sciences, 100080, Beijing, China

    Xiaofu Lü

  3. Department of Physics, Peking University, 100871, Beijing, China

    Yuxin Liu

  4. Institute of Theoretical Physics, Chinese Academy of Sciences, 100080, Beijing, China

    Yuxin Liu

  5. Institute of Theoretical Physics, Chinese Academy of Sciences, 100080, Beijing, China

    Enguang Zhao

Authors
  1. Xiaofu Lü
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Yuxin Liu
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Enguang Zhao
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Project supported by the National Natural Science Foundation of China and the Chinese Academy of Sciences.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lü, X., Liu, Y. & Zhao, E. Determination of bilocal field in GCM theory and calculation of some properties of mesons. Sci. China Ser. A-Math. 40, 860–867 (1997). https://doi.org/10.1007/BF02878926

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02878926

Keywords

Search

Navigation