ИСТИНА

Quantum anomaly is a violation of the symmetry with respect to a transformation during a quantization procedure. This means that a quantum anomaly occurs if a quantization procedure of a classical system, invariant relative to a transformation, yields a quantum system which is no longer invariant under this transformation. In the talk quantum anomalies are explained using formulas for derivatives of generalized measures on infinite-dimensional spaces. By this way one resolves the contradiction between explanations, of quantum anomalies, suggested in the relatively recent books by Cartier, P. and DeWitt-Morette, C. (Functional Integration, Cambridge University Press, 2006) and Fujikawa, K., Suzuki, H. (Path Integrals and Quantum Anomalies, Oxford University Press, 2004, second printing 2013)