Star-product representation of path integrals
Pankaj Sharan
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.
Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields•Jul 15, 1979•36 citations