Journal of Nonlinear Mathematical Physics

Volume 8, Issue 4, November 2001, Pages 518 - 533

On Anomalies in Classical Dynamical Systems

Authors
Francesco Toppan
Corresponding Author
Francesco Toppan
Received 27 February 2001, Revised 25 April 2001, Accepted 5 May 2001, Available Online 1 November 2001.
DOI
10.2991/jnmp.2001.8.4.6How to use a DOI?
Abstract

The definition of "classical anomaly" is introduced. It describes the situation in which a purely classical dynamical system which presents both a lagrangian and a hamitonian formulation admits symmetries of the action for which the Noether conserved charges, endorsed with the Poisson bracket structure, close an algebra which is just the centrally extended version of the original symmetry algebra. The consistency conditions for this to occur are derived. Explicit examples are given based on siple two-dimensional models. Applications of the above scheme and lines of further investigations are suggested.

Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
8 - 4
Pages
518 - 533
Publication Date
2001/11/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2001.8.4.6How to use a DOI?
Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Francesco Toppan
PY  - 2001
DA  - 2001/11/01
TI  - On Anomalies in Classical Dynamical Systems
JO  - Journal of Nonlinear Mathematical Physics
SP  - 518
EP  - 533
VL  - 8
IS  - 4
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2001.8.4.6
DO  - 10.2991/jnmp.2001.8.4.6
ID  - Toppan2001
ER  -