Il Nuovo Cimento A (1965-1970)

, Volume 109, Issue 8, pp 1145–1186 | Cite as

On gauge invariance of Yang-Mills theories with matter fields

  • M. Dütsch
Article
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Summary

We continue the investigation of quantied Yang-Mills theories coupled to matter fields in the framework of causal perturbation theory. In this approach, which goes back to Epstein and Glaser, one works with free fields throughout, so that all expressions are mathematically well defined. The general proof of theCg-identities (C-number identities expressing gauge invariance) is completed. We attach importance to the correct treatment of the degenerate terms and to theCg-identities with external matter legs. Moreover, the compatibility of allCg-identities withP-, T-, C-invariance and pseudo-unitarity is shown.

PACS

11.10 Field theory 

PACS

12.38 - General properties of QCD (dynamics, confinement, etc.) 
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References

  1. [1]
    Dütsch M., Hurth T., Krahe F. andScharf G.,Nuovo Cimento A,106 (1993) 1029.CrossRefADSGoogle Scholar
  2. [2]
    Dütsch M., Hurth T., Krahe F. andScharf G.,Nuovo Cimento A,107 (1994) 375.CrossRefADSGoogle Scholar
  3. [3]
    Dütsch M., Hurth T. andScharf G.,Nuovo Cimento A,108 (1995) 679.CrossRefADSGoogle Scholar
  4. [4]
    Dütsch M., Hurth T. andScharf G.,Nuovo Cimento A,108 (1995) 737.CrossRefADSGoogle Scholar
  5. [5]
    Epstein H. andGlaser V.,Ann. Inst. Poincaré A,19 (1973) 211.MathSciNetGoogle Scholar
  6. [6]
    Krahe F., preprint DIAS-STP-95-02.Google Scholar
  7. [7]
    Becchi C., Rouet A. andStora R.,Commun. Math. Phys.,42 (1975) 127;Ann. Phys. (N.Y.),98 (1976) 287.MathSciNetCrossRefADSGoogle Scholar
  8. [8]
    Dütsch M., Krahe F. andScharf G.,Nuovo Cimento A,103 (1990) 903.CrossRefADSGoogle Scholar
  9. [9]
    Scharf G.,Finite Quantum Electrodynamics, 2nd edition (Springer-Verlag) 1995.Google Scholar
  10. [10]
    Dütsch M., preprint ZU-TH 30/95, hep-th/9606105.Google Scholar
  11. [11]
    Taylor Y. C.,Nucl. Phys. B,33 (1971) 436.CrossRefADSGoogle Scholar
  12. [12]
    Slavnov A. A.,Theor. Math. Phys.,10 (1972) 99.MathSciNetCrossRefGoogle Scholar
  13. [13]
    't Hooft G.,Nucl. Phys. B,33 (1971) 173.MathSciNetCrossRefADSGoogle Scholar
  14. [14]
    Dütsch M., Krahe F. andScharf G.,Nuovo Cimento A,106 (1993) 277.CrossRefADSGoogle Scholar
  15. [15]
    Dütsch M., Krahe F. andScharf G.,Phys. Lett. B,258 (1991) 457;Nuovo Cimento A,105 (1992) 399.CrossRefADSGoogle Scholar
  16. [16]
    Dütsch M., Hurth T. andScharf G.,Phys. Lett. B,327 (1994) 166.MathSciNetCrossRefADSGoogle Scholar
  17. [17]
    Hurth T.,Ann. Phys. (N.Y.),244 (1995) 340.MathSciNetCrossRefADSGoogle Scholar
  18. [18]
    Bogolubov N. N., Logunov A. A. andTodorov I. T.,Introduction to Axiomatic Quantum Field Theory (W. A. Benjamin, Inc.) 1975.Google Scholar

Copyright information

© Società Italiana di Fisica 1996

Authors and Affiliations

  • M. Dütsch
    • 1
  1. 1.Institut für Theoretische Physik der Universität ZürichZürichSwitzerland

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