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Phys. Rev. D 66, 125013 (2002) [4 pages]

Origin of the anomalies: The modified Heisenberg equation

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J. G. Esteve
Departamento de Física Teórica, Facultad de Ciencias, Universidad de Zaragoza, Zaragoza, Spain

Received 17 July 2002; published 31 December 2002

The origin of the anomalies is analyzed. It is shown that they are due to the fact that the generators of the symmetry do not leave the domain of definition of the Hamiltonian invariant and thus a term, normally forgotten in the Heisenberg equation, gives an extra contribution responsible for the nonconservation of the charges. This explanation is equivalent to that of Fujikawa in the path integral formalism. Finally, this approach is applied to conformal symmetry breaking in two-dimensional quantum mechanics.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.66.125013
DOI:
10.1103/PhysRevD.66.125013
PACS:
11.10.Ef, 03.65.Ca, 11.30.-j