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American Institute of Physics, Journal of Mathematical Physics, 5(38), p. 2171

DOI: 10.1063/1.531967

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Renormalized Path Integral in Quantum Mechanics

Journal article published in 1996 by R. J. Henderson, S. G. Rajeev
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This paper is available in a repository.

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Abstract

We obtain direct, finite, formulations 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. (C) 1997 American Institute of Physics.