Skip to main content
SpringerLink
Log in

Pions: unbaring their lightness of being

  • Lectures
  • Published:
Czechoslovak Journal of Physics Aims and scope

Abstract

This lecture describes our understanding of why pions are light and how this is related to the structure of the QCD vacuum. The other lectures, on (i) the hadron world, (ii) dynamical mass generation and (iii) the Schwinger-Dyson approach to strong physics, make up the course Building hadrons with quarks, string and glue.

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. T-P. Cheng and L-F. Li: Gauge theory of elementary particle physics. Oxford University Press, 1984; J.F. Donoghue, E. Golowich and B.R. Holstein: Dynamics of the Standard Model. Cambridge University Press, 1992; S. Weinberg: The Quantum Theory of Fields, Vols. I and II. Cambridge University Press, 1995.

  2. M.R. Pennington: “Testing chiral symmetry breaking at DAФNE”, in Proc. of the DAPHCE Workshop, Frascati, 1996. Nucl. Phys. A 623 (1997) 189–201, [arXiv:hepph/9612417]; “Low energy hadron physics”, in Proc. of Workshop on Physics and Detectors for DAPHNE, Frascati, 1999. INFN, Frascati, 1999, pp. 43–58, [arXiv:hepph/0001183].

  3. Y. Nambu: Phys. Rev Lett. 4 (1960) 380; Y. Nambu and G. Jona-Lasinio: Phys. Rev. 122 (1961) 345, ibid. 124 (1961) 246.

    Article  ADS  Google Scholar 

  4. M. Gell-Mann and M. Levy: Nuovo Cim. 16 (1960) 705.

    MATH  MathSciNet  Google Scholar 

  5. J. Goldstone: Nuovo Cim. 19 (1961) 154.

    MATH  MathSciNet  Google Scholar 

  6. C.D. Roberts and A.G. Williams: Prog. Part. Nucl. Phys. 33 (1994) 477; P.C. Tandy: Prog. Part. Nucl. Phys. 39 (1997) 117.

    Article  ADS  Google Scholar 

  7. F.J. Dyson: Phys. Rev. 75 (1949) 1736; J. Schwinger: Proc. Nat. Acad. Sc. 37 (1951) 452 and 455.

    Article  MATH  ADS  MathSciNet  Google Scholar 

  8. for instance, D.C. Curtis and M.R. Pennington: Phys. Rev D 42 (1990) 4165; A. Kizilersü, M. Reenders and M.R. Pennington: Phys. Rev. D 52 (1995) 1242; M.R. Pennington: in Proc. of the Workshop on methods in non-perturbative field theory, Adelaide, 1998. (Eds. A.W. Schreiber, A.W. Thomas, A.G. Williams), World Sci., 1998, pp. 49, [arXiv:hep-th/9806200].

    Article  ADS  Google Scholar 

  9. P. Maris and C. D. Roberts: Phys. Rev C 56 (1997) 3369, [arXiv:nucl-th/9708029].

    Article  ADS  Google Scholar 

  10. M. Gell-Mann, R.J. Oakes and B. Renner: Phys. Rev. 175 (1968) 2195.

    Article  ADS  Google Scholar 

  11. R. Delbourgo and M.D. Scadron: Phys. Rev. Lett. 48 (1982) 379; V. Elias and M.D. Scadron: Phys. Rev. Lett. 53 (1984) 1129.

    Article  ADS  Google Scholar 

  12. J. Stern, H. Sazdjian and N.H. Fuchs: Phys. Rev. D 47 (1993) 3814; M. Knecht and J. Stern: The Second DAФNE Physics Handbook. (Eds. L. Maiani, G. Pancheri and N. Paver), INFN, Frascati, 1995, pp. 169–190; M. Knecht, B. Moussallam and J. Stern: The Second DAФNE Physics Handbook. (Eds. L. Maiani, G. Pancheri and N. Paver), INFN, Frascati, 1995, pp. 221–236.

    Article  ADS  Google Scholar 

  13. S. Weinberg: Phys. Rev. Lett. 17 (1966) 616; Physica 96A (1979) 327.

    Article  ADS  Google Scholar 

  14. S.L. Adler: Phys. Rev. 137 (1965) B1022, ibid. S.L. Adler: Phys. Rev. 139 (1965) B1638.

    Article  ADS  Google Scholar 

  15. J. Gasser and H. Leutwyler: Ann. Phys. (NY) 158 (1984) 142; Nucl. Phys. B 250 (1985) 465.

    Article  ADS  MathSciNet  Google Scholar 

  16. M. Knecht, B. Moussallam, J. Stern and N.H. Fuchs: Nucl. Phys. B 457 (1995) 513.

    Article  ADS  Google Scholar 

  17. F. Gomez et al. [DIRAC Collaboration]: Nucl. Phys. Proc. Suppl. 96 (2001) 259; P. Gianotti et al. [DIRAC Collaboration]: Acta Phys. Polon. B 31 (2000) 2571.

    Article  ADS  Google Scholar 

  18. D. Morgan and M.R. Pennington. The Second DAФNE Physics Handbook. (Eds. L. Maiani, G. Pancheri and N. Paver), INFN, Frascati, 1995, pp. 193–213.

    Google Scholar 

  19. N. Cabibbo and A. Maksymowicz: Phys. Rev. 137 (1965) B438.

    Article  ADS  Google Scholar 

  20. E.W. Beier et al.: Phys. Rev. Lett. 29 (1972) 511, ibid. E.W. Beier et al.: Phys. Rev. Lett. 30 (1973) 399.

    Article  ADS  Google Scholar 

  21. L. Rosselet et al.: Phys. Rev. D 15 (1977) 374.

    Article  Google Scholar 

  22. S. Pislak et al. [BNL-E865 Collaboration]: Phys. Rev. Lett. 87 (2001) 221801, [arXiv:hep-ex/0106071].

    Article  ADS  Google Scholar 

  23. S.M. Roy: Phys. Lett. B 36 (1971) 353.

    Article  ADS  Google Scholar 

  24. G. Colangelo, J. Gasser and H. Leutwyler: Nucl. Phys. B 603 (2001) 125, [arXiv:hep-ph/0103088]; Phys. Rev. Lett. 86 (2001) 5008, [arXiv:hep-ph/0103063]; B. Ananthanarayan, G. Colangelo, J. Gasser and H. Leutwyler: Phys. Rept. 353 (2001) 207, [arXiv:hep-ph/0005297].

    Article  ADS  Google Scholar 

  25. J.L. Basdevant, C.D. Froggatt and J.L. Petersen: Nucl. Phys. B 72 (1974) 413; M.R. Pennington and S.D. Protopopescu: Phys. Rev D 7 (1973) 1429, 2591.

    Article  ADS  Google Scholar 

  26. H. Leutwyler: “Strong Interactions at Low Energies”, these proceedings.

  27. S.D. Protopopescu et al.: Phys. Rev. D 7 (1973) 1279; J.P. Baton, G. Laurens and J. Reignier: Phys. Lett. 33B (1970) 525 and 528.

    Article  ADS  Google Scholar 

  28. E. Barrelet: Nuovo Cim. 8A (1972) 331.

    Article  ADS  Google Scholar 

  29. G.F. Chew, S. Mandelstam and H.P. Noyes: Phys. Rev. 119 (1960) 478.

    Article  MATH  ADS  MathSciNet  Google Scholar 

  30. K. Kawarabayashi and M. Suzuki: Phys. Rev. Lett. 16 (1966) 255; Riazuddin and Fayyazuddin: Phys. Rev. 147 (1966) 1071.

    Article  ADS  MathSciNet  Google Scholar 

  31. e.g. M.R. Pennington: “Zeros in ττ scattering”, in Proc. of the International Conference on ττ scattering and related topics, Tallahassee, Florida, 1973. A.I.P. Conf. Proc. 13 (1973) 89–116.

  32. M.G. Olsson: Phys. Rev. 162 (1967) 1338.

    Article  ADS  Google Scholar 

  33. M.R. Pennington: “Glueballs: the naked truth” in Proc. Workshop on Photon Interactions and Photon Structure, Lund, Sweden, 1998. (Eds. G. Jarlskog and T. Sjostrand), Lund, 1999, pp. 313–328, [arXiv:hep-ph/9811276].

  34. M.R. Pennington: “Exclusive channels in γγ reactions: light at the end of the tunnel”, (hep-ph/9907353) Proc. International Conference on the Structure and Interactions of the Photon, Photon'99, Freiburg, 1999. Nucl. Phys. Proc. Supp. 82 (2000) 291, [arXiv:hep-ph/9907353].

Download references

Author information

Authors and Affiliations

  1. Institute for Particle Physics Phenomenology, University of Durham, Durham, U.K.

    M. R. Pennington

Authors
  1. M. R. Pennington
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Lectures given at the XIVth Summer School “Understanding the structure of hadrons”, Prague (Czech Republic), July 9–13, 2001

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pennington, M.R. Pions: unbaring their lightness of being. Czech J Phys 52 (Suppl 2), B28–B48 (2002). https://doi.org/10.1007/s10582-002-0078-0

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10582-002-0078-0

PACS

Search

Navigation