On anomalies in classical dynamical systems

Details On anomalies in classical dynamical systems On anomalies in classical dynamical systems

2001-05-31

arxiv.org/abs/math-ph/0105051v3

J.Nonlin.Math.Phys. 8 (2001) 518-533

Physics

Mathematical Physics

arXiv version is already official

Scientific paper

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 hamiltonian 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 simple two-dimensional models. Applications of the above scheme and lines of further investigations are suggested.

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