Part of the Lecture Notes in Physics book series (LNP, volume 839)


So far we did not worry about how the classical symmetries of a theory are carried over to the quantum theory. We have implicitly assumed that classical symmetries are preserved in the process of quantization.


Axial-vector Current Axial Anomaly Triangle Diagram Adler-Bardeen Theorem External Gauge Field 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


  1. 1.
    Álvarez-Gaumé, L.: An introduction to anomalies. In: Velo, G., Wightman, A.S. (eds) Fundamental Problems of Gauge Field Theory, Plenum Press, London (1986)Google Scholar
  2. 2.
    Jackiw, R.: Topological investigations of quantized gauge theories. In: Treiman, S.B., Jackiw, R., Zumino, B., Witten, E. (eds) Current Algebra and Anomalies, Princeton, NJ (1985)Google Scholar
  3. 3.
    Adler, S.: Axial-vector vertex in spinor electrodynamics. Phys. Rev. 177, 2426 (1969)ADSCrossRefGoogle Scholar
  4. 4.
    Bell, J.S., Jackiw, R.: A PCAC puzzle: \(\pi^{0}\rightarrow 2\gamma\) in the sigma model. Nuovo Cim. A 60, 47 (1969)Google Scholar
  5. 5.
    Ynduráin, F.J.: The Theory of Quark and Gluon Interactions. Springer, New York (1999)zbMATHGoogle Scholar
  6. 6.
    Dissertori, G., Knowles, I., Schmelling, M.: Quantum Chromodynamics: High Energy Experiments and Theory. Oxford, New York (2003)Google Scholar
  7. 7.
    Narison, S.: QCD as a Theory of Hadrons: From Partons to Confinement. Cambridge University Press, Cambridge (2004)CrossRefGoogle Scholar
  8. 8.
    ’t Hooft, G.: How the instantons solve the U(1) problem. Phys. Rept. 142, 357 (1986)MathSciNetADSCrossRefGoogle Scholar
  9. 9.
    Sutherland, D.G.: Current algebra and some nonstrong mesonic decays. Nucl. Phys. B 2, 433 (1967)ADSCrossRefGoogle Scholar
  10. 10.
    Veltman, M.J.G.: Theoretical aspects of high-energy neutrino interactions. Proc. R. Soc. A 301, 107 (1967)ADSCrossRefGoogle Scholar
  11. 11.
    Steinberger, J.: On the use of substraction fields and the lifetimes of some types of meson decay. Phys. Rev. 76, 1180 (1949)ADSzbMATHCrossRefGoogle Scholar
  12. 12.
    Adler, S.L., Bardeen, W.A.: Absence of higher order corrections in the anomalous axial vector divergence equation. Phys. Rev. 182, 1517 (1969)ADSCrossRefGoogle Scholar
  13. 13.
    Witten, E.: An SU(2) anomaly. Phys. Lett. B 117, 324 (1982)MathSciNetADSCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Theory Unit, Physics DepartmentCERNGenevaSwitzerland
  2. 2.Departamento de Física FundamentalUniversidad de SalamancaSalamancaSpain

Personalised recommendations