One-loop corrections to classical masses of kink families

2003/04/30 by A. Alonso Izquierdo, A. Alonso-Izquierdo, W. Garcia Fuertes +4 · 4 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Nonlinear Photonic Systems #Quantum Electrodynamics and Casimir Effect #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2004.01.003

published as Nucl.Phys.B681:163-194,2004 · 29 pages, 6 figures. Minor corrections, references added. To appear in Nucl. Phys. B

arxiv created 2004/01/07 · openalex publication_date 2004/01/25 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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\rm ole 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.

Citations

• One-loop surface tensions of (supersymmetric) kink domain walls from dimensional regularization
• Quantization of supersymmetric solitons

Cited by

• On domain walls in a Ginzburg-Landau non-linear S2-sigma model
• One-loop corrections to the mass of self-dual semi-local planar topological solitons
• Domain walls in a non-linear \mathbbS²-sigma model with homogeneous quartic polynomial potential
• The Dirichlet Casimir effect for ϕ4theory in (3 + 1) dimensions: a new renormalization approach