Skip to main content
SpringerLink
Log in

The effective action approach applied to nuclear matter — I

  • Published:
Il Nuovo Cimento A (1971-1996)

Summary

Within the framework of the Walecka model (QHD-I) the application of the Cornwall-Jackiw-Tomboulis (CJT) effective action to nuclear matter is presented. The main feature is the treatment of the meson condensates for the system of finite nuclear density. The system of coupled Schwinger-Dyson (SD) equations is derived. It is shown that the SD equations for sigma-omega mixings are absent in this formalism. Instead, the energy density of the nuclear ground state does explicitly contain the contributions from the ring diagrams, amongst others. In the bare-vertex approximation, the expression for energy density is written down for numerical computation in the next paper.

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. Walecka J. D.,Ann. Phys.,83 (1974) 491;Serot B. D. andWalecka J. D.,Adv. Nucl. Phys.,16 (1986) 1.

    Article  ADS  Google Scholar 

  2. Gambhir Y. K., Ring P. andThimet A.,Ann. Phys.,198 (1990) 132.

    Article  ADS  Google Scholar 

  3. Toki H., Sugahara Y., Hirata D., Tanihata I. andCarlson B.,Nucl. Phys. A,524 (1991) 633.

    Article  ADS  Google Scholar 

  4. Furnstahl R. J., Perry R. J. andSerot B. D.,Phys. Rev. C,40 (1989) 321.

    Article  ADS  Google Scholar 

  5. Celenza L. S., Pantziris A. andShakin C. M.,Phys. Rev. C,45 (1991) 205.

    Article  ADS  Google Scholar 

  6. Nakano M., Hasagawa A., Kouno H. andKoide K.,Phys. Rev. C,49 (1994) 3061, 3076.

    Article  ADS  Google Scholar 

  7. Cornwall J., Jackiw R. andTomboulis E.,Phys. Rev. D,10 (1974) 2428.

    Article  ADS  Google Scholar 

  8. Allendes M. P. andSerot B. D.,Phys. Rev. C,45 (1992) 2975.

    Article  ADS  Google Scholar 

  9. Krein G., Nielsen M., Puff R. D. andWilets L.,Phys. Rev. C,47 (1992) 2485.

    Article  ADS  Google Scholar 

  10. Prakash M., Ellis P. J. andKapusta J. I.,Phys. Rev. C,45 (1992) 2518.

    Article  ADS  Google Scholar 

  11. Fetter A. L. andWalecka J. D.,Quantum Theory of Many-Particle Systems (McGraw-Hill Book Company) 1971.

  12. Chin S. A.,Ann. Phys.,108 (1977) 301.

    Article  ADS  Google Scholar 

  13. McNeil J. A., Price C. E. andShepard J. R.,Phys. Rev. C,47 (1992) 1534.

    Article  ADS  Google Scholar 

  14. Tran Huu Phat andNguyen Tuan Anh,The effective action approach applied to nuclear matter — II (in preparation).

Download references

Author information

Authors and Affiliations

  1. International Centre for Theoretical Physics, 34100, Trieste, Italy

    Tran Huu Phat & Nguyen Tuan Anh

Authors
  1. Tran Huu Phat
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Nguyen Tuan Anh
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding authors

Correspondence to Tran Huu Phat or Nguyen Tuan Anh.

Additional information

The authors of this paper have agreed to not receive the proofs for correction.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Phat, T.H., Anh, N.T. The effective action approach applied to nuclear matter — I. Il Nuovo Cimento A (1971-1996) 110, 475–485 (1997). https://doi.org/10.1007/BF03035894

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF03035894

PACS 21.60

Search

Navigation