Renormalized Path Integral in Quantum Mechanics
High Energy Physics - Theory
2009-10-30 v1
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.
Cite
@article{arxiv.hep-th/9609109,
title = {Renormalized Path Integral in Quantum Mechanics},
author = {R. J. Henderson and S. G. Rajeev},
journal= {arXiv preprint arXiv:hep-th/9609109},
year = {2009}
}
Comments
13 pgs, plain TEX file