Abstract
It is shown that the multiplicative anomaly in the vector-axial-vector model, which apparently has nothing to do with the breaking of classical current symmetries, nevertheless is strictly related to the well known consistent and covariant anomalies.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Adler, S.: Phys. Rev. 177 (1969), 1426.
Bell, J. and Jackiw, R.: Nuovo Cimento A 60 (1969), 47.
Bardeen, W. A.: Phys. Rev. 184 (1969), 1848.
Gross, D. J. and Jackiw, R.: Phys. Rev. D 6 (1972), 477.
Fujikawa, K.: Phys. Rev. Lett. 35 (1975), 1560.
Fujikawa, K.: Phys. Lett. 42 (1979), 1195.
Gamboa Saravi, R. E., Muschietti, M. A., Schaposnik, F. A. and Solomin, J. E.: Ann. Phys. 157 (1984), 360.
Elizalde, E., Vanzo, L. and Zerbini, S.: Comm. Math. Phys. 194 (1998), 613.
Bytsenko, A. A. and Williams, F. L.: J. Math. Phys. 38 (1998), 1075.
Filippi, A.: Inclusion of chemical potential for scalar fields, hep-ph/9703323, Imperial/TP/96–97/37 (1997).
McKenzie-Smith, J. J. and Toms, D. J.: Phys. Rev. D 58 (1998), 105001.
Dowker, J. S.: On the relevance of the multiplicative anomaly, Preprint MUTP/98/4 hep-th/9803200 (1998).
Evans, N.: Regularisation schemes and the multiplicative anomaly, hep-th/9803184 (1998).
Elizalde, E., Cognola, G. and Zerbini, S.: Nuclear Phys. B 532 (1998), 407.
Wodzicki, M.: Non-commutative residue, In: Yu I. Manin, (ed), Lecture Notes in Math. 1289, Springer-Verlag, New York, ch. I, p. 320.
Kassel, C.: Asterisque 177 (1989), 199 (Sem. Bourbaki).
Kontsevich, M. and Vishik, S.: Functional Analysis on the Eve of the 21st Century, volume 1, (1993), pp. 173–197, New Brunswick, NJ (1993). Prog. Math. 131, Birkhäusen, Boston, MA, 1995.
Elizalde, E., Filippi, A., Vanzo, L. and Zerbini, S.: Phys. Rev. D 57 (1998), 7430.
Langmann, E. and Mickelsonn, J.: Lett. Math. Phys. 36 (1996), 45.
Mickelsonn, J.: Chiral anomalies on lattice, hep-lat/9602030 (1996).
Reuter, M.: Phys. Rev. D 31, (1985), 1374.
Balachandran, A. P., Marmo, G., Nair, V. P. and Trahern, C. G.: Phys. Rev. D 25 (1982), 2713.
Andrianov, A. and Bonora, L.: Nuclear Phys. B 233 (1984), 232.
Einhorn, M. B. and Jones, D. R. T.: Phys. Rev. D 29 (1984), 331.
Hu, S. K. and Young, B. L.: Phys. Rev. D 30 (1984), 836.
Cognola, G. and Giacconi, P.: Phys. Rev. D 39 (1989), 2987.
Cognola, G., Giacconi, P. and Soldati, R.: J. Math. Phys. 31 (1990), 2699.
Dowker, J. S. and Critchley, R.: Phys. Rev. D 13 (1976), 3224.
Hawking, S.W.: Comm. Math. Phys. 55 (1977), 133.
Bytsenko, A. A., Cognola, G., Vanzo, L. and Zerbini, S.: Phys. Rep. 266 (1996), 1.
Mickelsson, J.: Wodzicki residue and anomalies of current algebras, In: Proc. Integrable Models and Strings (Helsinki 1993) (1993), 123, hep-th/9404093.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Cognola, G., Zerbini, S. Consistent, Covariant and Multiplicative Anomalies. Letters in Mathematical Physics 48, 375–383 (1999). https://doi.org/10.1023/A:1007682717613
Issue Date:
DOI: https://doi.org/10.1023/A:1007682717613