The European Physical Journal C

, Volume 66, Issue 3–4, pp 451–464 | Cite as

Renormalizability of a quark–gluon model with soft BRST breaking in the infrared region

  • L. Baulieu
  • M. A. L. Capri
  • A. J. Gómez
  • V. E. R. Lemes
  • R. F. Sobreiro
  • S. P. Sorella
Regular Article - Theoretical Physics

Abstract

We prove the renormalizability of a quark–gluon model with soft breaking of the BRST symmetry, which accounts for the modification of the large distance behavior of the quark and gluon correlation functions. The proof is valid to all orders of perturbation theory, by making use of softly broken Ward identities.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    V.N. Gribov, Nucl. Phys. B 139, 1 (1978) CrossRefMathSciNetADSGoogle Scholar
  2. 2.
    D. Zwanziger, Nucl. Phys. B 323, 513 (1989) CrossRefMathSciNetADSGoogle Scholar
  3. 3.
    D. Zwanziger, Nucl. Phys. B 399, 477 (1993) CrossRefMathSciNetADSGoogle Scholar
  4. 4.
    R. Alkofer, L. von Smekal, Phys. Rep. 353, 281 (2001) MATHCrossRefMathSciNetADSGoogle Scholar
  5. 5.
    D. Dudal, R.F. Sobreiro, S.P. Sorella, H. Verschelde, Phys. Rev. D 72, 014016 (2005) CrossRefADSGoogle Scholar
  6. 6.
    D. Dudal, S.P. Sorella, N. Vandersickel, H. Verschelde, Phys. Rev. D 77, 071501 (2008) CrossRefADSGoogle Scholar
  7. 7.
    D. Dudal, J.A. Gracey, S.P. Sorella, N. Vandersickel, H. Verschelde, Phys. Rev. D 78, 065047 (2008) CrossRefADSGoogle Scholar
  8. 8.
    A.C. Aguilar, D. Binosi, J. Papavassiliou, Phys. Rev. D 78, 025010 (2008) CrossRefADSGoogle Scholar
  9. 9.
    A. Cucchieri, T. Mendes, Phys. Rev. Lett. 100, 241601 (2008) CrossRefMathSciNetADSGoogle Scholar
  10. 10.
    A. Cucchieri, T. Mendes, Phys. Rev. D 78, 094503 (2008) CrossRefADSGoogle Scholar
  11. 11.
    V.G. Bornyakov, V.K. Mitrjushkin, M. Muller-Preussker, Phys. Rev. D 79, 074504 (2009) CrossRefADSGoogle Scholar
  12. 12.
    K. Fujikawa, Nucl. Phys. B 223, 218 (1983) CrossRefADSGoogle Scholar
  13. 13.
    L. Baulieu, S.P. Sorella, Phys. Lett. B 671, 481 (2009) CrossRefMathSciNetADSGoogle Scholar
  14. 14.
    L. Baulieu, N. Ohta, Phys. Lett. B 391, 295 (1997) CrossRefMathSciNetADSGoogle Scholar
  15. 15.
    L. Baulieu, M.B. Green, E. Rabinovici, Nucl. Phys. B 498, 119 (1997) MATHCrossRefMathSciNetADSGoogle Scholar
  16. 16.
    L. Baulieu, M.B. Green, E. Rabinovici, Phys. Lett. B 386, 91 (1996) CrossRefMathSciNetADSGoogle Scholar
  17. 17.
    D. Dudal, S.P. Sorella, N. Vandersickel, H. Verschelde, J. High Energy Phys. 0908, 110 (2009) CrossRefADSGoogle Scholar
  18. 18.
    M.B. Parappilly, P.O. Bowman, U.M. Heller, D.B. Leinweber, A.G. Williams, J.B. Zhang, Phys. Rev. D 73, 054504 (2006) CrossRefADSGoogle Scholar
  19. 19.
    S. Furui, H. Nakajima, Phys. Rev. D 73, 074503 (2006) CrossRefADSGoogle Scholar
  20. 20.
    L. Baulieu, D. Dudal, M.S. Guimaraes, M.Q. Huber, S.P. Sorella, N. Vandersickel, D. Zwanziger, arXiv:0912.5153 [hep-th]
  21. 21.
    O. Piguet, S.P. Sorella, Algebraic Renormalization: Perturbative Renormalization, Symmetries and Anomalies, Lect. Notes Phys., vol. M28 (1995), p. 1 Google Scholar
  22. 22.
    R.F. Sobreiro, S.P. Sorella, in Lectures given at 13th Jorge Andre Swieca Summer School on Particle and Fields, Campos do Jordao, Brazil, 9–22 Jan 2005. arXiv:hep-th/0504095
  23. 23.
    N. Maggiore, M. Schaden, Phys. Rev. D 50, 6616 (1994) CrossRefADSGoogle Scholar

Copyright information

© Springer-Verlag / Società Italiana di Fisica 2010

Authors and Affiliations

  • L. Baulieu
    • 1
    • 2
  • M. A. L. Capri
    • 3
  • A. J. Gómez
    • 3
  • V. E. R. Lemes
    • 3
  • R. F. Sobreiro
    • 4
  • S. P. Sorella
    • 3
  1. 1.Theoretical division CERNGenève 23Switzerland
  2. 2.LPTHE, CNRS and Université Pierre et Marie CurieParis Cedex 05France
  3. 3.Instituto de Física, Departamento de Física TeóricaUERJ—Universidade do Estado do Rio de JaneiroRio de JaneiroBrazil
  4. 4.Instituto de FísicaUFF—Universidade Federal FluminenseNiteróiBrazil

Personalised recommendations