Skip to main content
SpringerLink
Log in

Spontaneous breaking of chiral symmetry, and eventually of parity, in a σ-model with two Mexican hats

  • Regular Article - Theoretical Physics
  • Published:
The European Physical Journal C Aims and scope Submit manuscript

Abstract

A σ-model with two linked Mexican hats is discussed. This scenario could be realized in low-energy QCD when the ground state and the first excited (pseudo)scalar mesons are included, and where not only in the subspace of the ground states, but also in that of the first excited states, a Mexican hat potential is present. This possibility can change some basic features of a low-energy hadronic theory of QCD. It is also shown that spontaneous breaking of parity can occur in the vacuum for some parameter choice of the 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. A. Zee, Quantum Field Theory in a Nutshell (Princeton University Press, Princeton, 2003)

    MATH  Google Scholar 

  2. S. Gasiorowicz, D.A. Geffen, Rev. Mod. Phys. 41, 531 (1969)

    Article  MathSciNet  ADS  Google Scholar 

  3. F. Giacosa, arXiv:0903.4481 [hep-ph]

  4. C. Amsler et al. (Particle Data Group), Phys. Lett. B 667, 1 (2008)

    ADS  Google Scholar 

  5. T. Feldmann, P. Kroll, Phys. Scr. T 99, 13 (2002). arXiv:hep-ph/0201044

    Article  ADS  Google Scholar 

  6. F. Giacosa, arXiv:0712.0186 [hep-ph]

  7. S. Gallas, F. Giacosa, D.H. Rischke, arXiv:0907.5084 [hep-ph]

  8. D. Parganlija, F. Giacosa, D.H. Rischke, PoS Confin. 8, 070 (2008). arXiv:0812.2183 [hep-ph]

    Google Scholar 

  9. D. Parganlija, F. Giacosa, D.H. Rischke, AIP Conf. Proc. 1030, 160 (2008). arXiv:0804.3949 [hep-ph]

    Article  ADS  Google Scholar 

  10. V. Koch, arXiv:nucl-th/9512029

  11. T.D. Cohen, L.Y. Glozman, Mod. Phys. Lett. A 21, 1939 (2006). arXiv:hep-ph/0512185

    Article  ADS  Google Scholar 

  12. A.H. Fariborz, R. Jora, J. Schechter, Phys. Rev. D 72, 034001 (2005)

    Article  ADS  Google Scholar 

  13. M. Napsuciale, S. Rodriguez, Phys. Rev. D 70, 094043 (2004). arXiv:hep-ph/0407037

    Article  ADS  Google Scholar 

  14. F. Giacosa, Phys. Rev. D 75, 054007 (2007). arXiv:hep-ph/0611388

    ADS  Google Scholar 

  15. A. Heinz, S. Struber, F. Giacosa, D.H. Rischke, Phys. Rev. D 79, 037502 (2009). arXiv:0805.1134 [hep-ph]

    ADS  Google Scholar 

  16. A.A. Andrianov, V.A. Andrianov, D. Espriu, Phys. Lett. B 678, 416 (2009). arXiv:0904.0413 [hep-ph]

    ADS  Google Scholar 

  17. I.J.R. Aitchison, arXiv:hep-ph/0505105

  18. E. Babaev, arXiv:cond-mat/0302218

  19. E. Di Grezia, S. Esposito, G. Salesi, Phys. Lett. A 373, 2385 (2009). arXiv:0807.1414 [cond-mat.supr-con]

    Article  ADS  Google Scholar 

  20. L.Y. Glozman, Phys. Rep. 444, 1 (2007). arXiv:hep-ph/0701081

    Article  ADS  Google Scholar 

  21. A. Casher, Phys. Lett. B 83, 395 (1979)

    Article  ADS  Google Scholar 

  22. C. Vafa, E. Witten, Phys. Rev. Lett. 53, 535 (1984)

    Article  ADS  Google Scholar 

  23. M.B. Einhorn, J. Wudka, Phys. Rev. D 67, 045004 (2003). arXiv:hep-ph/0205346

    MathSciNet  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute for Theoretical Physics, Johann Wolfgang Goethe University, Max von Laue-Str. 1, 60438, Frankfurt am Main, Germany

    Francesco Giacosa

Authors
  1. Francesco Giacosa
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Francesco Giacosa.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Giacosa, F. Spontaneous breaking of chiral symmetry, and eventually of parity, in a σ-model with two Mexican hats. Eur. Phys. J. C 65, 449–455 (2010). https://doi.org/10.1140/epjc/s10052-009-1199-4

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjc/s10052-009-1199-4

Keywords

Search

Navigation