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Il Nuovo Cimento A (1965-1970)

, Volume 79, Issue 4, pp 437–456 | Cite as

Light-quark mass ratios and vacuum flavour symmetry breaking

  • P. G. Williams
Article

Summary

The anomalous Ward identities for flavourU3×U3 are shown to allow a wide range of values for the quark mass ratioms/m, but only if there is considerable violation ofSU3.currents symmetry in the vacuum. The consequences are discussed for radiative decays of the η and\(\eta '\).

PACS. 12.90

Miscellaneous theoretical ideas and models 

Отношение масс легких кварков и нарушение симметрии аромата в вакууме

Резюме

Показывается, что аномальные тождества Уорда для группы ароматаU3U3 допускают шпрокий диапазон значений для отошения масс кварковms/m, если существует значительное нарушение симметрииSU3,токи в вакууме. Обсуждаются следствия для радиационных распадов η и\(\eta '\).

Riassunto

Si mostra che le identità anomale di Ward per il saporeU3×U3 ammettono un'ampia gamma di valori per il rapporto di massa dei quarkms/m, ma solo se c'è una considerevole violazione della simmetriaSU3,currents nel vuoto. Si discutono le conseguenze per i decadimenti radiativi di η e\(\eta '\).

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References

  1. (1).
    G. 't Hooft:Phys. Rev. Lett.,37, 8 (1976);E. Witten:Nucl. Phys. B,156, 269 (1979);G. Veneziano:Nucl. Phys. B,159, 213 (1979). Further references may be found inR. J. Crewther:Riv. Nuovo Cimento,2, 63 (1979) and in (2,3).CrossRefADSGoogle Scholar
  2. (2).
    E. van Herwijnen andP. G. Williams:Phys. Rev. D,24, 240 (1981).CrossRefADSGoogle Scholar
  3. (3).
    E. van Herwijnen andP. G. Williams:Nucl. Phys. B,196, 109 (1982).CrossRefADSGoogle Scholar
  4. (4).
    S. Weinberg: inFestschrift for I. I. Rabi, edited byL. Motz (New York, N. Y., 1978);J. Gasser andH. Leutwyler:Phys. Rep. C,87, 77 (1982) provides a recent comprehensive review of quark masses and contains further references to the extensive literature.Google Scholar
  5. (5).
    M. Gell-Mann, R. J. Oakes andB. Renner:Phys. Rev.,175, 2195 (1968).CrossRefADSGoogle Scholar
  6. (6).
    J. F. Gunion, P. C. McNamee andM. D. Scadron:Nucl. Phys. B,123, 445 (1979);S. Caser andM. Testa:Phys. Lett. B,61, 267 (1976).CrossRefADSGoogle Scholar
  7. (7).
    K. Bagchi:Phys. Lett. B,105, 187 (1981).CrossRefADSGoogle Scholar
  8. (8).
    D. J. Broadhurst:Nucl. Phys. B,85, 189 (1975).CrossRefADSGoogle Scholar
  9. (9).
    M. A. Shifman, A. I. Vainshtein andV. I. Zakharov:Nucl. Phys. B,147, 448 (1979).CrossRefADSGoogle Scholar
  10. (10).
    S. Narison, N. Paver andD. Treleani: Trieste (ISAS) preprint 53/82/E.P. and references therein.Google Scholar
  11. (11).
    R. Partridge, C. Peck, F. Porter, W. Kollmann, M. Richardson, K. Strauch, K. Wacker, D. Aschman, T. Burnett, M. Cavalli-Sforza, D. Coyne, H. Sadrozinski, E. Bloom, F. Bulos, R. Chestnut, J. Gaiser, G. Godfrey, C. Kiesling, M. Oreglia, R. Hofstadter, I. Kirkbride, H. Kolanoski, A. Liberman, J. O'Reilly andJ. Tompkins:Phys. Rev. Lett.,44, 712 (1980).CrossRefADSGoogle Scholar
  12. (12).
    P. Langacker andH. Pagels:Phys. Rev. D,8, 4595 (1973);H. Goldberg: Northeastern Preprint, NUB 2475 (November 1980);L. J. Reinders, H. R. Rubinstein andS. Yazaki:Phys. Lett. B,120, 209 (1983) obtain an independent accurate estimate β=0.096±0.001 from applying QCD sum rules to baryon masses.CrossRefADSGoogle Scholar

Copyright information

© Società Italiana di Fisica 1984

Authors and Affiliations

  • P. G. Williams
    • 1
  1. 1.Department of PhysicsWestfield College (University of London)London

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