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: | https://eprints.maths.manchester.ac.uk/id/eprint/2517 |
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