Skip to main content

Infrared problem and zero-mass limit in a model of non-abelian gauge theory

  • Short Communications
  • Conference paper
  • First Online:
Feynman Path Integrals

Part of the book series: Lecture Notes in Physics ((LNP,volume 106))

  • 160 Accesses

Abstract

Infrared divergences of Yang Mills theory are regularized by an explicit mass term for the vector meson. By using the invariance properties under Becchi, Rouet and Stora transformations we demonstrate that the theory violates physical unitarity also in the limit of zero mass.

Seminar presented by R. Ferrari at the conference “Colloquium on Mathematical Problems 1 in Feynman Path Integral” Marseille, May 22–26, 1978.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. R.P. Feynman, Acta Phys. Polon. 24, 697 (1963).

    Google Scholar 

  2. L.D. Faddeev and V.N. Popov, Phys. Lett. 25B, 29 (1967).

    Google Scholar 

  3. G.'t Hooft, Nucl. Phys. B33, 173 (1971) and B35, 167 (1971).

    Google Scholar 

  4. B.W. Lee and J. Zinn-Justin, Phys. Rev. D5, 3121, 3137, 3155 (1972).

    Google Scholar 

  5. C. Becchi, A. Rouet and A. Stora, Ann. Phys. (New York) 98, 287 (1976).

    Google Scholar 

  6. G. Curci and R. Ferrari, Nuovo Cimento 35A, 474 (1976).

    Google Scholar 

  7. G. Curci and R. Ferrari, Nuovo Cimento 32A, 151 (1976).

    Google Scholar 

  8. C. Becchi, A. Rouet and A. Stora, Phys. Lett. 52B, 344 (1974).

    Google Scholar 

  9. G.'t Hooft and M. Veltman, Nucl. Phys. B44, 189 (1972).

    Google Scholar 

  10. C.G. Bollini and J.J. Giambiagi, Nuovo Cimento 12B,20 (1972).

    Google Scholar 

  11. G.M. Cicuta and E. Montaldi, Lett. Nuovo Cimento 4, 329 (1972).

    Google Scholar 

  12. P. Breitenlohner and D. Maison, Comm. math. Phys. 52, 11,39,55 (1977).

    Google Scholar 

  13. G. Curci and R. Ferrari, Nuovo Cimento 35A, 1 (1976).

    Google Scholar 

  14. A.A. Slavnov and L.D. Faddeev, Theor. and Math. Phys. 3, 321 (1970).

    Google Scholar 

  15. A.A. Slavnov, Theor. and Math. Phys. 8, 201 (1972).

    Google Scholar 

  16. H. van Dam and M. Veltman, Nucl. Phys. B22, 397 (1970).

    Google Scholar 

  17. G. Curci and R. Ferrari, Nuovo Cimento 35A, 273 (1976).

    Google Scholar 

  18. A.A. Slavnov, Theor. and Math. Phys. 10, 99 (1972).

    Google Scholar 

  19. J.C. Taylor, Nucl. Phys. B33, 436 (1971).

    Google Scholar 

  20. The same suggestion comes from the analysis of gauge invariance of transition probabilities: G. Curci and E. d'Emilio, “On Gauge Invariance and Perturbative Calculations in Quantum Chromodynamics”, TH.2582-CERN.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

S. Albeverio Ph. Combe R. Høegh-Krohn G. Rideau M. Sirugue-Collin M. Sirugue R. Stora

Rights and permissions

Reprints and permissions

Copyright information

© 1979 Springer-Verlag

About this paper

Cite this paper

Curci, G., Ferrari, R. (1979). Infrared problem and zero-mass limit in a model of non-abelian gauge theory. In: Albeverio, S., et al. Feynman Path Integrals. Lecture Notes in Physics, vol 106. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-09532-2_91

Download citation

  • DOI: https://doi.org/10.1007/3-540-09532-2_91

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09532-3

  • Online ISBN: 978-3-540-35039-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics