Skip to main content
SpringerLink
Log in

Dynamical symmetry breakdown in weak interactions

Нарушение динамической симметрии в слабых взаимодействиях

  • Published:
Il Nuovo Cimento A (1965-1970)

Riassunto

Si studia la rottura dinamica della teoria dell'interazione debole di Weinberg e SalamSL L,2×U2 (senza scalari di Higgs). Si ottiene una soluzione non perturbativa delle equazioni di Dyson e Schwinger per il sistema elettrone-neutrino-W-Z nell'approssimazione principale di Baker, Johnson e Jackiw. La soluzione usata di Maris, Herscovitz e Jacob seleziona automaticamente le soluzioni irregolari desiderate nella regione asintotca per generare la relazione di massa di Weinberg e SalamM 2w /M 2z =cos2 θ.

Резюме

Исследуется нарушение динамической симметрии теории слабых взаимодействий Вейнберга-СаламаSU L,2×U 1 (без скаляров Хиггса). Получается непертубационное решение уравнений Дайсона-Швингера для системы электрон-нейтрино-W-Z в рамках приближения Бакера-Джонсона-Джакива. Исполязованное решение Мариса-Герсковица-Якоба автоматически быбирает требуемое иррегулярное решение в асимптотической области, чтобы получить отношение масс Вейнберга-СаламаM 2w /M 2z =cos2 θ.

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

References

  1. S. Weinberg:Phys. Rev. D,13, 974 (1976);19, 1277 (1979). For a different approach, seeJ. D. Bjorken:Phys. Rev. D,19, 335 (1979);P. Q. Hung andJ. J. Sakurai:Nucl. Phys. B,143, 81 (1978).

    Article  ADS  Google Scholar 

  2. L. Susskind: SLAC Report No. SLAC-PUB-2142 (1979) (Phys. Rev. D, to be published).

  3. E. Eichten andK. Lane: Harvard University preprint HUTP-79/A062 (1979).

  4. M. A. Beg, H. D. Politzer andP. Ramond:Phys. Rev. Lett.,43, 1701 (1979);P. H. Frampton:Phys. Rev. Lett.,43, 1912 (1979).

    Article  ADS  Google Scholar 

  5. F. Englert andR. Brout:Phys. Rev. Lett.,13, 321 (1964);A. A. Midgal andA. M. Polyakov:Ž. Ėksp. Teor. Fiz.,51, 135 (1966) (English translation:Sov. Phys. JETP,24, 91 (1967))F. Englert, J. M. Frere andP. Nicoletopoulos:Phys. Lett. B,52, 443 (1974);59, 346 (1975).

    Article  MathSciNet  ADS  Google Scholar 

  6. R. Jackiw andH. Johnson:Phys. Rev. D,8, 2386 (1973), to be referred to as JJ;J. M. Cornwall andR. E. Norton:Phys. Rev. D,8, 3338 (1973);J. M. Cornwall:Phys. Rev. D,10, 500 (1974).

    Article  ADS  Google Scholar 

  7. J. Smit:Phys. Rev. D,10, 2473 (1974);E. Eichten andF. Feinberg:Phys. Rev. D,10, 3254 (1974);H. Pagels: Rockefeller University preprint COO-2232B-186 (1979).

    Article  ADS  Google Scholar 

  8. R. Acharya, P. Narayanaswamy andB. P. Nigam:Spontaneous breakdown of gauge symmetries scans scalar mesons, preprint (1979).

  9. Th. Maris, V. Herscòvitz andG. Jacob:Phys. Rev. Lett.,12, 313 (1964) to be referred to as MHJ:S. N. Biswas andS. K. Bose:J. Math. Phys. (N. Y.),6, 1227 (1965).

    Article  MathSciNet  ADS  Google Scholar 

  10. S. Weinberg:Phys. Rev. Lett.,19, 1264 (1967);A. Salam: inElementary Particle Theory, edited byN. Svartholm (Stockholm, 1968).

    Article  ADS  Google Scholar 

  11. E. S. Abers andB. W. Lee:Phys. Rev. C,9, 1 (1973).

    Google Scholar 

  12. M. Baker, K. Johnson andB. W. Lee:Phys. Rev. B,133, 209 (1964).

    Article  MathSciNet  ADS  Google Scholar 

  13. R. Arnowitt andS. Deser:Phys. Rev. B,138, 712 (1965).

    Article  MathSciNet  ADS  Google Scholar 

  14. J. D. Bjorken andS. D. Drell:Relativistic Quantum Fields (New York, N. Y., 1965), p. 154.

  15. R. Delbourgo andM. D. Scandron:Proof of the Nambu-Goldstone realization for vector gluon quark theories, to be publishedJ. Phys. G. (1979).

  16. K. Johnson, M. Baker andR. Willey:Phys. Rev. B,136, 1111 (1964);163, 1699 (1967);M. Baker andK. Johnson:Phys. Rev.,183, 1292 (1969);Phys. Rev. D,3, 2516 (1971).

    Article  MathSciNet  ADS  Google Scholar 

  17. Y. Frishman:Phys. Rev.,138, 1450 (1965).

    Article  MathSciNet  ADS  Google Scholar 

  18. D. Lurie:Particles and Fields (New York, N. Y., 1968), p. 476.

  19. K. Lane:Phys. Rev. D,10, 2605 (1974).

    Article  ADS  Google Scholar 

  20. A. Carter andH. Pagels:Phys. Rev. Lett.,43, 1845 (1979).

    Article  ADS  Google Scholar 

  21. J. C. Ward:Phys. Rev.,78, 1824 (1950);Y. Takahashi:Nuovo Cimento,6, 370 (1957).

    Article  Google Scholar 

  22. I. S. Gradshteyn andI. M. Ryzhik:Table of Integrals, Series and Products (New York, N. Y., 1965), p. 849.

  23. S. Mandelstam:Phys. Rev. D,20, 3223 (1979).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Physics Department, Arizona State Univeristy, 85281, Tempe, Ariz.

    R. Acharya & B. P. Nigam

  2. Physics Department, Southern Illinois University, 62026, Edwardsville, Ill.

    P. Narayanaswamy

Authors
  1. R. Acharya
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. P. Narayanaswamy
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. B. P. Nigam
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Work supported, in part, by Arizona State University Faculty Grant-in-Aid,

Traduzione a cura della Redazione.

Перевебено ребакцией.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Acharya, R., Narayanaswamy, P. & Nigam, B.P. Dynamical symmetry breakdown in weak interactions. Nuov Cim A 60, 265–276 (1980). https://doi.org/10.1007/BF02902462

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02902462

Search

Navigation