Renormalized Path Integral in Quantum Mechanics

R. J. Henderson; S. G. Rajeev

doi:10.1063/1.531967

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arXiv · hep-th/9609109

Renormalized Path Integral in Quantum Mechanics

R. J. Henderson·S. G. Rajeev

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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.

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R. J. Henderson, S. G. Rajeev. 1996-09-12. Renormalized Path Integral in Quantum Mechanics. https://doi.org/10.1063/1.531967

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