Renormalization of the Inverse Square Potential
High Energy Physics - Theory
2007-05-23 v2 Quantum Physics
Abstract
The quantum-mechanical D-dimensional inverse square potential is analyzed using field-theoretic renormalization techniques. A solution is presented for both the bound-state and scattering sectors of the theory using cutoff and dimensional regularization. In the renormalized version of the theory, there is a strong-coupling regime where quantum-mechanical breaking of scale symmetry takes place through dimensional transmutation, with the creation of a single bound state and of an energy-dependent s-wave scattering matrix element.
Cite
@article{arxiv.hep-th/0003014,
title = {Renormalization of the Inverse Square Potential},
author = {Horacio E. Camblong and Luis N. Epele and Huner Fanchiotti and Carlos A. Garcia Canal},
journal= {arXiv preprint arXiv:hep-th/0003014},
year = {2007}
}
Comments
5 pages