Renormalization of the inverse square potential |
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Authors: | Camblong Epele Fanchiotti Garcia Canal CA |
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Affiliation: | Department of Physics, University of San Francisco, San Francisco, California 94117-1080, USA. |
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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. |
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