Classical solitons with no quantum counterparts and their supersymmetric revival

Kaul, R. K. ; Rajaraman, R. (1985) Classical solitons with no quantum counterparts and their supersymmetric revival Pramana - Journal of Physics, 24 (6). pp. 837-845. ISSN 0304-4289

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Official URL: http://www.ias.ac.in/j_archive/pramana/24/6/837-84...

Related URL: http://dx.doi.org/10.1007/BF02847055

Abstract

We demonstrate the phenomenon stated in the title, using for illustration a two-dimensional scalar-field model with a triple-well potential V(Φ)=λ2Φ2/2m2 ×(Φ2 - m2/λ)2. 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:Article
Source:Copyright of this article belongs to Indian Academy of Sciences.
Keywords:Solitons; 2-D Scalar-field Model; Triple-well Potential; Supersymmetry
ID Code:16441
Deposited On:15 Nov 2010 13:39
Last Modified:17 May 2016 01:11

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