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One-loop correction to classical masses of quantum kink families

A. Alonso Izquierdo·W. Garcia Fuertes·M. A. Gonzalez Leon·J. Mateos Guilarte
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Abstract

One-loop corrections to kink masses in a family of (1+1)-dimensional field theoretical models with two real scalar fields are computed. A generalized DHN formula applicable to potentials with and without reflection is obtained. It is shown how half-bound states arising in the spectrum of the second order fluctuation operator for one-component topological kinks and the vacuum play a central r$\hat{\rm o}$le in the computation of the kink Casimir energy. The issue of whether or not the kink degeneracy exhibited by this family of models at the classical level survives one-loop quantum fluctuations is addressed.

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A. Alonso Izquierdo, W. Garcia Fuertes, M. A. Gonzalez Leon, J. Mateos Guilarte. 2004-01-07. One-loop correction to classical masses of quantum kink families. https://doi.org/10.1016/j.nuclphysb.2004.01.003

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