Feynman path integrals and Lebesgue-Feynman measures

Montaldi, James and Smolyanov, Oleg G. (2016) Feynman path integrals and Lebesgue-Feynman measures. [MIMS Preprint]

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Abstract

We define the class of Lebesgue-Feynman Measures (LFM) on any locally convex topological vector space and investigate transformations of the LFM generated by transformations of the domain and also discuss the connections of these transformations of the LFM with so-called quantum anomalies, improving some recent results of the authors and others. We revisit the contradiction between the points of view on quantum anomalies presented in the books of Fujikawa and Suzuki on the one hand, and of Cartier and DeWitt-Morette on the other, coming out in favour of the former.

Item Type: MIMS Preprint
Uncontrolled Keywords: Infinite dimensional measure, Feynman path integrals, Quantum anomalies
Subjects: MSC 2010, the AMS's Mathematics Subject Classification > 28 Measure and integration
MSC 2010, the AMS's Mathematics Subject Classification > 46 Functional analysis
MSC 2010, the AMS's Mathematics Subject Classification > 81 Quantum theory
Depositing User: Dr James Montaldi
Date Deposited: 09 Dec 2016
Last Modified: 08 Nov 2017 18:18
URI: http://eprints.maths.manchester.ac.uk/id/eprint/2517

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