RENORMALIZED PATH INTEGRAL IN QUANTUM MECHANICS

Robert Henderson, S. G. Rajeev

Published Jan 1, 1996• 4 citations

Abstract

We obtain direct, finite, descriptions of a renormalized quantum mechanical system with no reference to ultraviolet cutoffs and running coupling constants, in both the Hamiltonian and path integral pictures. The path integral description requires a modification to the Wiener measure on continuous paths that describes an unusual diffusion process wherein colliding particles occasionally stick together for a random interval of time before going their separate ways. 1

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