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arXiv · hep-th/0003255

Dimensional Transmutation and Dimensional Regularization in Quantum Mechanics. I. General Theory

Horacio E. Camblong·Luis N. Epele·Huner Fanchiotti·Carlos A. Garcia Canal
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Abstract

This is the first in a series of papers addressing the phenomenon of dimensional transmutation in nonrelativistic quantum mechanics within the framework of dimensional regularization. Scale-invariant potentials are identified and their general properties are derived. A strategy for dimensional renormalization of these systems in the strong-coupling regime is presented, and the emergence of an energy scale is shown, both for the bound-state and scattering sectors. Finally, dimensional transmutation is explicitly illustrated for the two-dimensional delta-function potential.

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Horacio E. Camblong, Luis N. Epele, Huner Fanchiotti, Carlos A. Garcia Canal. 2001-01-04. Dimensional Transmutation and Dimensional Regularization in Quantum Mechanics. I. General Theory. https://doi.org/10.1006/aphy.2000.6092

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