R Rajaraman
Articles written in Pramana – Journal of Physics
Volume 11 Issue 4 October 1978 pp 491-506 Nuclear And Particle Physics
On the alleged equivalence of certain field theories
We critically examine some recent claims that certain field theories with and without boson kinetic energy terms are equivalent. We point out that the crucial element in these claims is the finiteness or otherwise of the boson wavefunction renormalisation constant. We show that when this constant is finite, the equivalence proof offered in the literature fails in a direct way. When the constant is divergent, the claimed equivalence is only a consequence of improper use of divergent quantities.
Volume 24 Issue 1-2 January 1985 pp 1-14 Quantum Physics
Quantum supersymmetric generalisation of Bogomolnyi bounds
We review here classical Bogomolnyi bounds, and their generalisation to supersymmetric quantum field theories by Witten and Olive. We also summarise some recent work by several people on whether such bounds are saturated in the quantised theory.
Volume 24 Issue 6 June 1985 pp 837-845 Particle Physics
Classical solitons with no quantum counterparts and their supersymmetric revival
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.
Volume 28 Issue 1 January 1987 pp 1- Comments
Some remarks on the finiteness of soliton mass
Some subtleties regarding regularizations in computing the soliton energy of degenerate systems are discussed.
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