Comment on `One Loop Renormalization of Soliton Quantum Mass Corrections in 1+1 Dimensional Scalar Field Theory Models' (Phys. Lett. B542 (2002) 282 [hep-th/0206047])

Abstract

We refute the claim that previous works on the one-loop quantum mass of solitons had incorrectly dropped a surface term from a partial integration. Rather, the paper quoted in the title contains a fallacious derivation with two compensating errors. We also remark that the ${\varphi }^2{\cos }^2\ln ({\varphi }^2)$ model considered in that paper does not have solitons at the quantum level because at two-loop order the degeneracy of the vacua is lifted. This may be remedied, however, by a supersymmetric extension.

arXiv comment6 pages LATEX2e, using elsart.cls, 1 figure

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Cited by in corpus (4)

• One-loop correction to classical masses of quantum kink families
• A new renormalization approach to the Dirichlet Casimir effect for ϕ^4 theory in (1+1) dimensions
• A note on one-loop soliton quantum mass corrections
• The Radiative Corrections to the Mass of the Kink Using an Alternative Renormalization Program