Skip to main content
SpringerLink
Log in

Theory of corrections to unitary symmetry formulae

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

Summary

A systematic analysis of the equal-time commutation relations of the generators of an algebra with certain physical operators is made. A method is then introduced whereby considering matrix elements of such commutators between physical one-particle states and using completeness and invariance under space-time translations, corrections to broken-symmetry group-theoretical formulae are obtained. Several applications to weak, electromagnetic and strong interactions are then made.

Riassunto

In questo lavoro viene fatta un'analisi sistematica delle relazioni di commutazione, a tempi eguali, dei generatori di un'algebra con vari operatori fisici. Viene poi introdotto un metodo per ottenere correzioni alle formule gruppali, nel caso in cui la simmetria sia violata; esso si basa sulla considerazione degli elementi di matrice dei detti commutatori tra stati fisici ad una particella e sull'uso della completezza e dell'invarianza rispetto a traslazioni spazio-temporali. Si riportano alcune applicazioni relative a interazioni deboli, elettromagnetiche e forti.

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. M. Gell-Mann: Cal. Tech. Report, CTSL-20 (1961) (unpublished);Y. Ne'eman:Nucl. Phys.,26, 222 (1961).

  2. S. Fubini andG. Furlan:Physics,1, 229 (1965) (referred to as I).

    Google Scholar 

  3. G. Furlan, F. Lannoy, C. Rossetti andG. Segrè: (to be published) (referred to as II).

  4. M. Gell-Mann:Phys. Rev.,125, 1067 (1962);Physics,1, 63 (1964).

    Article  ADS  MathSciNet  Google Scholar 

  5. G. Racah: Princeton Lectures (1951).

  6. J. J. De Swart:Rev. Mod. Phys.,35, 916 (1963).

    Article  ADS  Google Scholar 

  7. M. Ademollo andR. Gatto:Phys. Rev. Lett.,13, 264 (1964).

    Article  ADS  Google Scholar 

  8. Y. Nambu andJ. J. Sakurai:Phys. Rev. Lett.,11, 42 (1963).

    Article  ADS  Google Scholar 

  9. Ref. (1) andS. Okubo:Progr. Theor. Phys.,27, 949 (1962).

    Article  ADS  Google Scholar 

  10. J. J. Sakurai:Phys. Rev. Lett.,9, 472 (1962);S. L. Glashow:Phys. Rev. Lett.,11, 48 (1963).

    Article  ADS  Google Scholar 

  11. See alsoF. Gürsey, T. D. Lee andM. Nauenberg:Phys. Rev.,135, B 467 (1964).

    Article  ADS  MathSciNet  Google Scholar 

  12. S. Coleman andS. L. Glashow:Phys. Rev. Lett.,6, 423 (1961).

    Article  ADS  Google Scholar 

  13. A. H. Rosenfeld, A. Barbaro-Galtieri, W. H. Barkas, P. L. Bastien, J. Kierz andM. Roos:Rev. Mod. Phys.,36, 977 (1964).

    Article  ADS  Google Scholar 

Download references

Author information

Author notes

  1. C. Rossetti

    Present address: Istituto di Fisica dell'Università, Torino, Italy

Authors and Affiliations

  1. Istituto di Fisica dell'Università, Trieste, Italy

    G. Furlan

  2. CERN, Geneva, Switzerland

    F. Lannoy & C. Rossetti

  3. Istituto di Fisica dell'Università, Torino, Italy

    G. Segrè

Authors
  1. G. Furlan
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. F. Lannoy
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. C. Rossetti
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. G. Segrè
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

The research reported in this document has been sponsored in part by the Air Force Office of Scientific Research through the European Office, Aerospace Research, United States Air Force.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Furlan, G., Lannoy, F., Rossetti, C. et al. Theory of corrections to unitary symmetry formulae. Nuovo Cimento A (1965-1970) 40, 597–629 (1965). https://doi.org/10.1007/BF02721047

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02721047

Keywords

Search

Navigation