Skip to main content
SpringerLink
Log in

Vacuum polarization in an oscillatory gauge

Поляриэация вакуума в осцилляторной калибровке

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

Summary

The fourth-order contribution to charge renormalization is calculated in an infinitesimally oscillatory gauge, and the result is discussed in its relation to the possible finiteness of vacuum polarization. The special gauge used is found to provide a natural means for maintaining simultaneous consistency with Ward’s identity and the spectral representation of the electron propagator.

Riassunto

Si calcola il contributo di quarto ordine alla rinormalizzazione della carica in una gauge infinitesimalmente oscillatoria, e si discute il risultato in relazione alla possibile limitatezza della polarizzazione del vuoto. Si trova che la speciale gauge usata fornisce i mezzi naturali per mantenere una simultanea coerenza con l’identità di Ward e la rappresentazione spettrale del propagatore dell’elettrone.

Реэюме

Вычисляется вклад четвертого порядка для перенормировки эаряда в бесконечно малой осцилляторной калибровке, и реэультат обсуждается в свяэи с воэможной конечностью поляриэации вакуума. Получается, что испольэованная специальная калибровка дает естественный способ для сохранения одновременной согласованности с тождеством Уорда и спектральным представлением злектронного пропагатора.

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. P. C. M. Yock:Possible mechanism for yielding finite self-energies, inPhys. Rev. (to be published).

  2. F. J. Dyson:Phys. Rev.,75, 1736 (1949).

    Article  ADS  MathSciNet  Google Scholar 

  3. J. Schwinger:Proc. Nat. Acad. Sci.,37, 452 (1951).

    Article  ADS  MathSciNet  Google Scholar 

  4. J. Ward:Phys. Rev.,78, 182 (1950).

    Article  ADS  Google Scholar 

  5. G. Källen:Helv. Phys. Acta,26, 755 (1953);E. Kazes:Nuovo Cimento,13, 1226 (1959).

    Google Scholar 

  6. e.g.,K. Johnson:Particles and Field Theory (Englewood Cliffs., N. J., 1965).

  7. K. Johnson, R. Willey andM. Baker:Phys. Rev.,163, 1699 (1967).

    Article  ADS  Google Scholar 

  8. K. Johnson, M. Baker andR. Willey:Phys. Rev.,136, B 1111 (1964).

  9. R. Jost andJ. M. Luttinger:Helv. Phys. Acta,23, 201 (1950).

    MathSciNet  Google Scholar 

  10. G. Källen:Helv. Phys. Acta,25, 417 (1952).

    Google Scholar 

  11. H. Lehmann:Nuovo Cimento,11, 342 (1954).

    Article  MathSciNet  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

  13. P. C. M. Yock:Nuovo Cimento,55 A, 217 (1968).

    Article  ADS  Google Scholar 

  14. J. L. Rosner:Ann. of Phys.,44, 11 (1967).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, University of Auckland, Auckland

    P. C. M. Yock

Authors
  1. P. C. M. Yock
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Yock, P.C.M. Vacuum polarization in an oscillatory gauge. Nuovo Cimento B (1965-1970) 57, 154–160 (1968). https://doi.org/10.1007/BF02710323

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02710323

Keywords

Search

Navigation