Skip to main content
SpringerLink
Log in

How is chiralSU 3⊗SU 3 symmetry broken?

Как нарушается киральнаяSU 3⊗SU 3 симметрия?

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

Summary

We consider the exactSU 2⊗SU 2 symmetry limit and theSU 3 symmetry limit separately in the hope that one of them may be a good symmetry group of Nature. Application of the Bjorken limit for the three-point function and conservation of current lead to the commutation relation for the charge and the σ-term. Spectral-function sum rules are obtained, and compared with available experimental data.

Riassunto

Si considerano separatamente i limiti esatti delle simmetrieSU 2⊗SU 2 eSU 3 nella speranza che uno di questi possa essere un buon gruppo di simmetria della natura. L’applicazione del limite di Bjorken per la funzione di tre punti e la conservazione della corrente, porta alla relazione di commutazione per la carica ed il termine σ. Si ottengono le regole della somma per la funzione spettrale, e si confrontano con i dati sperimentali utilizzabili.

Резюме

Мы рассматриваем отдельно предел точнойSU 2⊗SU 2 симметрии и пределSU 3 симметрии в надежде, что один из них может представлять хорошую группу симметрии природы. Применение предела Бьёркена для трехточечных функций и сохранение тока приводят к коммутационным соотношениям для заряда и σ члена. Получаются правила сумм для спектральных функций и сравниваются с имеющимися экспериментальными данными.

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. See, for example, the review article byS. Gasiorowicz andD. A. Geffen:Rev. Mod. Phys.,41, 531 (1969).

    Article  ADS  MathSciNet  Google Scholar 

  2. M. Gell-Mann, R. J. Oakes andB. Renner:Phys. Rev.,175, 2195 (1968).

    Article  ADS  Google Scholar 

  3. S. Okubo andV. S. Mathur:Phys. Rev. D,1, 2064 (1970);V. S. Mathur andS. Okubo:Phys. Rev. D,1, 3468 (1970).

    Article  ADS  Google Scholar 

  4. T. P. Cheng andR. Dashen:Phys. Rev. Lett.,26, 594 (1971).

    Article  ADS  Google Scholar 

  5. V. S. Mathur:Phys. Rev. Lett.,27, 457 (1971).

    ADS  Google Scholar 

  6. S. Okubo andI. F. Shih:Phys. Rev. D,4, 2020 (1971);I. F. Shih andS. Okubo:Phys. Rev. D,4, 3519 (1971);V. S. Mathur andT. C. Yang:Phys. Lett.,35 B, 599 (1971);Phys. Rev. D,5, 246 (1972).

    Article  ADS  Google Scholar 

  7. Also referred to as the BJL limit.J. Bjorken:Phys. Rev.,148, 1467 (1966);K. Johnson andF. Low:Progr. Theor. Phys. (Kyoto), Suppl. No.37-38, 74 (1966).

    Article  ADS  Google Scholar 

  8. C. G. Callan andD. J. Gross:Phys. Rev. Lett.,22, 156 (1969).

    Article  ADS  Google Scholar 

  9. G. Domokos andR. Karplus:Phys. Rev.,153, 1492 (1967).

    Article  ADS  Google Scholar 

  10. P. Olesen:Phys. Rev.,172, 1461 (1968).

    Article  ADS  Google Scholar 

  11. P. Olesen:Phys. Rev.,175, 2165 (1968).

    Article  ADS  Google Scholar 

  12. H. T. Nieh:Phys. Rev.,163, 1769 (1967).

    Article  ADS  Google Scholar 

  13. S. Weinberg:Phys. Rev. Lett.,18, 507 (1967).

    Article  ADS  Google Scholar 

  14. S. Glashow andS. Weinberg:Phys. Rev. Lett.,20, 224 (1968).

    Article  ADS  Google Scholar 

  15. S. Okubo:Phys. Rev.,188, 2293, 2300 (1969).

    Article  ADS  MathSciNet  Google Scholar 

  16. V. S. Mathur, S. Okubo andJ. Subba Rao:Phys. Rev. D,1, 2058 (1970).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, University of California-San Diego, La Jolla, Cal., USA

    T. C. Yang

Authors
  1. T. C. Yang
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Work supported in part by the U.S. Atomic Energy Commission.

Traduzione a cura della Redazione.

Переведено редакцией.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yang, T.C. How is chiralSU 3⊗SU 3 symmetry broken?. Nuov Cim A 17, 311–328 (1973). https://doi.org/10.1007/BF02777938

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02777938

Search

Navigation