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One-loop correction to classical masses of quantum kink families
High Energy Physics - Theory · Submitted 14 Apr 2003
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim 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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The abstract, sentence by sentence
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.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | One-loop corrections to kink masses in a family of (1+1)-dimensional field theoretical models with two real scalar fields are computed. | contribution 0.97 | 0.94 | 0.08 | asserted 1.00 |
| s1 | A generalized DHN formula applicable to potentials with and without reflection is obtained. | contribution 0.58 | 0.93 | 0.15 | asserted 1.00 |
| s2 | 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. | result 0.76 | 0.85 | 0.16 | asserted 1.00 |
| s3 | 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. | contribution 0.73 | 0.79 | 0.12 | unclear 0.83 |
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The paper
Original 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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In this case there are two stable topological kinks but the strategy used was the spectral zeta function regularization developed in the papers [ref] - [ref] - [ref] on linear sigma models with several scalar fields.
On domain walls in a Ginzburg-Landau non-linear S^2-sigma model · Further comments · 0.95
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