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This article is cited in 3 scientific papers (total in 3 papers)
Polar decomposition of the Wiener measure: Schwarzian theory versus conformal quantum mechanics
V. V. Belokurovab, E. T. Shavgulidzea a Lomonosov Moscow State University, Moscow, Russia
b Institute for Nuclear Research, Russian Academy of Sciences, Moscow, Russia
Abstract:
We find an explicit form of the polar decomposition of the Wiener measure and obtain an equation relating functional integrals in conformal quantum mechanics to functional integrals in the Schwarzian theory. Using this relation, we evaluate some nontrivial functional integrals in the Schwarzian theory and also find the fundamental solution of the Schrödinger equation in imaginary time in the model of conformal quantum mechanics.
Keywords:
Wiener measure, functional integral over the group of diffeomorphisms.
Received: 14.12.2018 Revised: 14.12.2018
Citation:
V. V. Belokurov, E. T. Shavgulidze, “Polar decomposition of the Wiener measure: Schwarzian theory versus conformal quantum mechanics”, TMF, 200:3 (2019), 465–477; Theoret. and Math. Phys., 200:3 (2019), 1324–1334
Linking options:
https://www.mathnet.ru/eng/tmf9677https://doi.org/10.4213/tmf9677 https://www.mathnet.ru/eng/tmf/v200/i3/p465
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Abstract page: | 264 | Full-text PDF : | 58 | References: | 22 | First page: | 13 |
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