Noether theorems and quantum anomalies

Professor Oleg Smolyanov (Moscow State University)

Frank Adams 1,

One says that a quantum anomaly occurs if after quantization of a Hamiltonian or Lagrangian system, which is invariant with respect to some transformations, one gets a quantum system which is not invariant any more with respect to the same transformations.  It will be shown that both Noether's theorems and the explanation of quantum anomalies can be obtained using similar formulas for derivatives of functions whose values are in the first case are measures and in the second pseudomeasures (similar to the Sobolev-Schwartz distributions).

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