Classical solitons with no quantum counterparts and their supersymmetric revival |
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Authors: | R K Kaul R Rajaraman |
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Institution: | (1) Centre for Theoretical Studies, Indian Institute of Science, 560012 Bangalore, India;(2) Present address: Department of Physics, Massachusetts Institute of Technology, 02139 Cambridge, Mass, USA |
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Abstract: | We demonstrate the phenomenon stated in the title, using for illustration a two-dimensional scalar-field model with a triple-well
potential {fx837-1}. At the classical level, this system supports static topological solitons with finite energy. Upon quantisation,
however, these solitons develop infinite energy, which cannot be renormalised away. Thus this quantised model has no soliton
sector, even though classical solitons exist. Finally when the model is extended supersymmetrically by adding a Majorana field,
finiteness of the soliton energy is recovered. |
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Keywords: | Solitons 2-D scalar-field model triple-well potential supersymmetry |
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