Skip to main content
SpringerLink
Log in

Order parameters and properties of the σ−π sector in the Nambu-Jona-Lasinio model

  • Published:
Zeitschrift für Physik C Particles and Fields

Abstract

Using a simple minded and conventional HF and TDHF formalism we study an extended NJL model with explicit chiral symmetry breaking which incorporatesN f =2 andN c =3. We investigate properties of the vacuum state and of hadronic matter. We compute the constituent quark mass, the pion decay constant, the quark condensate and other properties of the σ−π sector of the model. These values essentially agree with the values obtained by sophisticated perturbation theoretical methods. The Gell-Mann-Oakes-Renner and the Goldberger-Treiman relations which come from PCAC are derived from theS 1 sum rule.

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. S. Coleman, E. Witten: Phys. Rev. Lett. 45 (1980) 100

    Google Scholar 

  2. M.A. Shifman, A.I. Vainhtein, V.I. Zakharov: Nucl. Phys. B147 (1979) 385; 448

    Google Scholar 

  3. B.L. Ioffe: Nucl. Phys. B188 (1981) 317; B192 (1980) 591

    Google Scholar 

  4. M.P. Mattis, M.E. Perkin: Phys. Rev. D32 (1986) 58

    Google Scholar 

  5. L. Frankfurt, M. Strikman: Phys. Rep. 160 (1988) 235

    Google Scholar 

  6. T. Hatsuda, T. Kunihiro: Phys. Lett. B198 (1987) 126

    Google Scholar 

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

    Google Scholar 

  8. D.J. Gross, A. Neveu: Phys. Rev. D10 (1974) 3235; T. Eguchi: Phys. Rev. D14 (1976) 2775; K. Kikkawa: Prog. Theor. Phys. 56 (1976) 947

    Google Scholar 

  9. T. Eguchi, H. Sugawara: Phys. Rev. D10 (1974) 4257

    Google Scholar 

  10. J. da Providencia, M.C. Ruivo, C.A. de Sousa: Phys. Rev. D36 (1987) 1882; J. da Providencia, M.C. Ruvio, C.A. de Sousa: Phys. Rev. D38 (1988) 2646

    Google Scholar 

  11. V. Bernard, U-G. Meissner: Nucl. Phys. A489 (1988) 647

    Google Scholar 

  12. M. Fukugita, S. Ohta, Y. Oyanagi, A. Ukawa: Phys. Rev. Lett. 58 (1987) 2515

    Google Scholar 

  13. L.J. Reinders, H. Rubinstein, S. Yasaki: Phys. Rep. 127 (1985) 1

    Google Scholar 

  14. D.J. Thouless: Nucl. Phys. 22 (1961) 78

    Google Scholar 

  15. J. Gasser, H. Leutwyler: Phys. Rep. 87 (1982) 77

    Google Scholar 

  16. A. Kocić:: Phys. Letts. B207 (1988) 489

    Google Scholar 

  17. T.D. Lee, G.C. Wick: Phys. Rev. D9 (1974) 2291

    Google Scholar 

  18. R.W. Haymaker, J. Perez-Mercador: Phys. Rev. D27 (1983) 1353

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Departamento de Física da Universidade de Coimbra, 3000, Coimbra, Portugal

    C. A. de Sousa

Authors
  1. C. A. de Sousa
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

de Sousa, C.A. Order parameters and properties of the σ−π sector in the Nambu-Jona-Lasinio model. Z. Phys. C - Particles and Fields 43, 503–508 (1989). https://doi.org/10.1007/BF01506547

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01506547

Keywords

Search

Navigation