Renormalization of the Inverse Square Potential

Details Renormalization of the Inverse Square Potential Renormalization of the Inverse Square Potential

2000-03-02

arxiv.org/abs/hep-th/0003014v2

Phys.Rev.Lett. 85 (2000) 1590-1593

Physics

High Energy Physics

High Energy Physics - Theory

5 pages

Scientific paper

10.1103/PhysRevLett.85.1590

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.

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