Cancellation of anomalies in a path integral formulation for classical field theories

dc.creatorMauro, D.
dc.date2005-07-07
dc.date.accessioned2026-07-07T04:18:26Z
dc.date.available2026-07-07T04:18:26Z
dc.descriptionSome symmetries can be broken in the quantization process (anomalies) and this breaking is signalled by a non-invariance of the quantum path integral measure. In this talk we show that it is possible to formulate also classical field theories via path integral techniques. The associated classical functional measure is larger than the quantum one, because it includes some auxiliary fields. For a fermion coupled with a gauge field we prove that the way these auxiliary fields transform compensates exactly the Jacobian which arises from the transformation of the fields appearing in the quantum measure. This cancels the quantum anomaly and restores the symmetry at the classical level.
dc.description10 pages; Contribution to the Proceedings of the 8-th International Conference "Path Integrals. From Quantum Information to Cosmology" (Prague, June 6-10, 2005)
dc.identifierhttps://arxiv.org/abs/hep-th/0507066
dc.identifierhttp://arxiv.org/abs/hep-th/0507066
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/53179
dc.subjectHigh Energy Physics - Theory
dc.titleCancellation of anomalies in a path integral formulation for classical field theories
dc.typetext

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