Title

Renormalization of the Inverse Square Potential

Authors

Horacio E. Camblong, University of San FranciscoFollow

Document Type

Article

Publication Date

8-21-2001

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.

Comments

Article published in Physical Review Letters, 85, pp 1590-1593 (2001).

© 2000 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevLett.85.1590

DOI: 10.1103/PhysRevLett.85.1590

Recommended Citation

Camblong, Horacio E., "Renormalization of the Inverse Square Potential" (2001). Physics and Astronomy. 1.
https://repository.usfca.edu/phys/1