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Classical solitons with no quantum counterparts and their supersymmetric revival

Kaul, RK and Rajaraman, R (1985) Classical solitons with no quantum counterparts and their supersymmetric revival. In: Pramana, 24 (6). pp. 837-845.

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Official URL: http://www.springerlink.com/content/806157720w5364...


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.

Item Type: Journal Article
Publication: Pramana
Publisher: Springer
Additional Information: Copyright of this article belongs to Springer.
Keywords: Solitons; 2-D scalar-field model; triple-well potential; supersymmetry.
Department/Centre: Division of Physical & Mathematical Sciences > Centre for Theoretical Studies (Ceased to exist at the end of 2003)
Date Deposited: 10 Sep 2009 06:13
Last Modified: 10 Sep 2009 06:13
URI: http://eprints.iisc.ac.in/id/eprint/23092

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