On the inequivalence of renormalization and self-adjoint extensions for quantum singular interactions |
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| Authors: | Horacio E. Camblong,Luis N. Epele,Huner Fanchiotti,Carlos A. Garcí a Canal,Carlos R. Ordó ñ ez |
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| Affiliation: | 1. Department of Physics, University of San Francisco, San Francisco, CA 94117-1080, USA;2. Laboratorio de Física Teórica, Departamento de Física, Facultad de Ciencias Exactas, Universidad Nacional de La Plata, C.C. 67-1900 La Plata, Argentina;3. Department of Physics, University of Houston, Houston, TX 77204-5506, USA;4. World Laboratory Center for Pan-American Collaboration in Science and Technology, University of Houston Center, Houston, TX 77204-5506, USA |
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| Abstract: | A unified S-matrix framework of quantum singular interactions is presented for the comparison of self-adjoint extensions and physical renormalization. For the long-range conformal interaction the two methods are not equivalent, with renormalization acting as selector of a preferred extension and regulator of the unbounded Hamiltonian. |
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| Keywords: | 03.65.-w 03.65.Ca 11.10.Gh 04.70.-s |
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