Star-product representation of path integrals
- 15 July 1979
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 20 (2) , 414-418
- https://doi.org/10.1103/physrevd.20.414
Abstract
It is shown that Feynman's path integral can be written as a Fourier transform of a function defined on the classical phase space with the help of the star product recently introduced by Bayen, Flato, Fronsdal, Lichnerowicz, and Sternheimer. This gives a well-defined meaning to path integrals and may prove to be a useful tool in their actual evaluation.Keywords
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