On a family of \((1+1)\)-dimensional scalar field theory models: kinks, stability, one-loop mass shifts

DOI10.1016/j.aop.2012.04.014zbMath1256.81077arXiv1205.3069OpenAlexW3099920286MaRDI QIDQ713268

J. Mateos Guilarte, A. Alonso Izquierdo

Publication date: 26 October 2012

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.3069

zbMATH Keywords

kinkone dimensional scalar field theoryone-loop mass quantum correctionPöschl-Teller spectral problem

Mathematics Subject Classification ID

Model quantum field theories (81T10) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) NLS equations (nonlinear Schrödinger equations) (35Q55) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Soliton solutions (35C08)

Related Items (8)

Emerging translational variance: vacuum polarization energy of the \(\phi^6\) kink ⋮ A note on one-loop soliton quantum mass corrections ⋮ New models for two real scalar fields and their kink-like solutions ⋮ Kink-antikink collisions in the periodic \(\varphi^4\) model ⋮ Stability catalyzer for a relativistic non-topological soliton solution ⋮ Introducing a relativistic nonlinear field system with a single stable non-topological soliton solution in \(1 + 1\) dimensions ⋮ Vacuum polarization energy for general backgrounds in one space dimension ⋮ A sufficient condition for asymptotic stability of kinks in general (1+1)-scalar field models

Cites Work

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• One-loop kink mass shifts: A computational approach
• No saturation of the quantum Bogomolnyi bound by two-dimensional \(N=1\) supersymmetric solitons
• Heat kernel expansion: user's manual
• One-loop corrections to classical masses of kink families
• Topological boundary conditions, the BPS bound, and elimination of ambiguities in the quantum mass of solitons
• Energy, central charge, and the BPS bound for \(1+1\)-dimensional supersymmetric solitons
• Generalized zeta functions and one-loop corrections to quantum kink masses
• Semi-classical mass of quantum \(k\)-component topological kinks
• General scalar bidimensional models including kinks
• Parent potentials for an infinite class of reflectionless kinks
• One-loop fluctuations of semi-local self-dual vortices

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