Skip to main content
SpringerLink
Log in

A general approach to the symmetry and the factorization properties of theN-point dual amplitudes

Общий подход к симметрии и свойства факторизацииN-точечных дуальных амплитуд

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

Summary

We present a general method for analyzing the consequence of the symmetries in the dual amplitudes. We show that the existence of the generalized gauge transformation is related not only to the reflection symmetry but also to the cyclic symmetry of the dual amplitudes. We give the explicit form for the generator of the gauge transformation in two different formalisms for theN-point function. Other transformation operators present in these formalisms are also investigated.

Riassunto

Si presenta un metodo generale per analizzare la conseguenza delle simmetrie nelle ampiezze duali. Si dimostra che l'esistenza della trasformazione di gauge generalizzata è collegata non soltanto alla simmetria di riflessione ma anche alla simmetria ciclica delle ampiezze duali. Si fornisce la forma esplicita per il generatore della trasformazione di gauge in due formalismi differenti per la funzione aN punti. Si studiano altri operatori di trasformazione presenti in questi formalismi.

Резюме

Мы предлагаем общий метод для анализа следствия симметрий в дуальных амплитудах. Мы показываем, что существование обобщенного калибровочного преобразования связано не только с симметрией отражения, но также с циклической симметрией дуальных амплитуд. Мы приводим точную форму для генератора калибровочного преобразования в двух различных формализмах дляN-точечной функции. Также исследуются операторы других преобразований, представленные в этих формализмах.

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

Referenes

  1. G. Veneziano:Nuovo Cimento,57 A, 190 (1968).

    Article  ADS  Google Scholar 

  2. The five-point function was given byK. Bardakçi andH. Ruegg:Phys. Lett.,28 B, 342 (1968); and byM. A. Virasoro:Phys. Rev. Lett.,22, 37 (1969).

    Article  Google Scholar 

  3. The generalization to an arbitraryN-point function was given byH. M. Chan:Phys. Lett.,28 B, 425 (1969);H. M. Chan andTsou S. Tsun:Phys. Lett.,28 B, 485 (1969);C. Goebel andB. Sakita:Phys. Rev. Lett.,22, 257 (1969);K. Bardakçi andH. Ruegg:Phys. Rev.,181, 1884 (1969).

    Article  Google Scholar 

  4. A generalization to theN-point function was also given byZ. Koba andH. B. Nielsen:Nucl. Phys. B10, 633 (1969).

    Article  ADS  Google Scholar 

  5. S. Fubini andG. Veneziano:Nuovo Cimento,64 A, 811 (1969).

    Article  ADS  Google Scholar 

  6. K. Bardakçi andS. Mandelstam:Phys. Rev.,184, 1640 (1969).

    Article  ADS  Google Scholar 

  7. S. Fubini, D. Gordon andG. Veneziano:Phys. Lett.,29 B, 679 (1969);Y. Nambu: University of Chicago preprint EFI 69-64 (1969).

    Article  Google Scholar 

  8. C. B. Chiu, S. Matsuda andC. Rebbi:Phys. Rev. Lett.,23, 1526 (1969).

    Article  ADS  Google Scholar 

  9. F. Gliozzi: Torino preprint (1969).

  10. C. B. Thorn: Berkeley preprint (1969).

  11. D. Amati, M. Le Bellac andD. Olive: CERN preprint (1969).

  12. H. Stapp: Trieste preprint (1969). A formalism similar to that of Stapp's has also been discussed in ref. (11)D. Amati, M. Le Bellac andD. Olive: CERN preprint (1969).

  13. L. Caneschi, A. Schwimmer andG. Veneziano:Phys. Lett.,30 B, 351 (1969).

    Article  Google Scholar 

  14. S. Sciuto: Torino preprint (1969).

  15. Although the three-resonance vertex function was derived in ref. (14)S. Sciuto: Torino preprint (1969) (also ref. (13)L. Caneschi, A. Schwimmer andG. Veneziano:Phys. Lett.,30 B, 351 (1969), with asymmetric definitions for the three relevant propagators, the expression of eq. (5.14) as given in ref. (13)L. Caneschi, A. Schwimmer andG. Veneziano:Phys. Lett.,30 B, 351 (1969) should in fact correspond to that for symmetric definitions of original propagators. We thank Dr.L. Caneschi for informing us on this point.

Download references

Author information

Author notes

  1. C. Rebbi

    Present address: Istituto di Fisica Teorica dell'Università, Trieste, Italy

Authors and Affiliations

  1. California Institute of Technology, Pasadena, Cal., USA

    C. B. Chiu, S. Matsuda & C. Rebbi

Authors
  1. C. B. Chiu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. Matsuda
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. C. Rebbi
    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. Prepared under Contract AT(11-1)-68 for the San Francisco Operations Office, U.S. Atomic Energy Commission.

Address after September, 1970: Institute for Advanced Study, Princeton, N.J.

Traduzione a cura della Redazione.

Переведено редакцией.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chiu, C.B., Matsuda, S. & Rebbi, C. A general approach to the symmetry and the factorization properties of theN-point dual amplitudes. Nuovo Cimento A (1965-1970) 67, 437–473 (1970). https://doi.org/10.1007/BF02728533

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02728533

Keywords

Search

Navigation