Abstract
An elementary derivation of the chiral gauge anomaly in all even dimensions is given in terms of noncommutative traces of pseudo-differential operators.
Similar content being viewed by others
References
Berline, N., Getzler, E., and Vergne, M.: Heat Kernels and Dirac Operators, Springer-Verlag, Berlin, 1992.
Connes, A.: Noncommutative Geometry, Academic Press, New York, 1994.
Cederwall, M., Ferretti, G., Nilsson, B., and Westerberg, A.: Schwinger terms and cohomology of pseudodifferential operators, hep-th/9410016.
Hörmander, L.: The Analysis of Linear Partial Differential Operators III, Springer-Verlag, 1985.
Langmann, E.: Non-commutative integration calculus, J. Math. Phys. (in press).
Langmann, E. and Mickelsson, J.: (3+1)-dimensional Schwinger terms and non-commutative geometry, Phys. Lett. B 338, 241 (1994).
Mickelsson, J.: Wodzicki residue and anomalies of current algebras, hep-th/9404093, in A. Alekseev, A. Hietamäki, K. Huitu, A. Morozov, and A. Niemi (eds), Integrable Models and Strings, Lecture Notes in Physics 436, Springer-Verlag, Berlin, 1994.
Rennie, R.: Geometry and topology of chiral anomalies in gauge theories, Adv. Phys. 39, 617 (1990).
Treiman, S. B., Jackiw, R., Zumino, B., and Witten, E.: Current Algebra and Anomalies, Princeton University Press, Princeton, 1985.
Wodzicki, M.: Noncommutative residue, in Yu. Mannin (ed.), Lecture Notes in Mathematics 1289 Springer-Verlag, Berlin, 1985.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Langmann, E., Mickelsson, J. Elementary derivation of the chiral anomaly. Lett Math Phys 36, 45–54 (1996). https://doi.org/10.1007/BF00403250
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF00403250