Abstract
The renormalization of the three pseudoscalar gauge invariant operators which appear in the Adler-Bell-Jackiw anomaly is studied in the back-ground field gauge, where it is simplest. We analyse questions concerning renormalization-group invariance, mixing, the γ5-perscription inD dimensions, as well as the meaning of the nonrenormalization of the axial anomaly in the context of the renormalization of composite operators.
Similar content being viewed by others
References
A.M. Polyakov: Phys. Lett.B103, 207, 211 (1981); Yu.M. Makeenko, A.A. Migdal: Nucl. Phys.B188, 269 (1981)
K. Wilson: Phys. Rev.D10, 2445 (1974)
M.A. Shifman, A.I. Vainshtein, V.I. Zakharov: Nucl. Phys.B147, 385, 448 (1979)
R. Tarrach: Nucl. Phys.B196, 45 (1982)
R.J. Crewther: Phys. Rev. Lett.28, 1421 (1972); H.S. Chanowitz and J. Ellis: Phys. Lett.40B, 397 (1972) and Phys. Rev.D7, 2490 (1973); J.C. Collins, A. Duncan, S.D. Joglekar: Phys. Rev.D16, 438 (1977)
S.L. Adler, in: Lectures on elementary particles and quantum field theory. eds. S. Deser, M. Grisau, H. Pendleton Cambridge, MA: MIT Press 1970; J.S. Bell, R. Jackiw: Nuovo Cim.60A, 47 (1969)
A. DiGiacomo, G.C. Rossi: Phys. Lett.100B, 481 (1981); P. DiVecchia, K. Fabricius, G.C. Rossi, G. Veneziano: CERN preprint TH 3091 (1981), TH 3180 (1981)
H. Kluberg-Stern, J.B. Zuber: Phys. Rev.D12, 467, 3159 (1975)
G. 'tHooft: Nucl. Phys.B61, 455 (1973)
L.F. Abbott: Nucl. Phys.B185, 189 (1981)
G. 'tHooft, M. Veltman; Nucl. Phys.B44, 89 (1972)
D.A. Akyeampong, R. Delbourgo: Nuovo Cim.17A, 578 (1973);18A, 94 (1973);19A, 219 (1974); P. Breitenlohner, D. Maison: Comm. Math. Phys.52, 11 (1977); G. Bonneau: Nucl. Phys.B171, 477 (1980)
W. Siegel: Phys. Lett.84B, 193 (1979)
G. Altarelli, G. Curci, G. Martinelli, S. Petrarca: Nucl. Phys.B187, 461 (1981)
W.A. Bardeen, R. Gastmans, B. Lautrup: Nucl. Phys.B46, 319 (1972); M. Chanowitz, M. Furman, I. Hinchliffe: Nucl. Phys.B159, 225 (1979)
S.L. Adler, W.A. Bardeen: Phys. Rev.182, 1517 (1969)
T.L. Trueman: Phys. Lett.98B, 331 (1979)
V.A. Novikov, M.A. Shifman, A.I. Vainshtein, V.I. Zakharov: Nucl. Phys.B191, 301 (1981)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Espriu, D., Tarrach, R. Renormalization of the axial anomaly operators. Z. Phys. C - Particles and Fields 16, 77–82 (1982). https://doi.org/10.1007/BF01573750
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01573750