Semi-classical mass of quantum k-component topological kinks

Abstract

We use the generalized zeta function regularization method to compute the one-loop quantum correction to the masses of the TK1 and TK2 kinks in a deformation of the O(N) linear sigma model on the real line.

25 pages, 1 figure, Appendix added; version to appear in Nucl. Phys. B

References in corpus (1)

• Stability of Kink Defects in a Deformed O(3) Linear Sigma Model

Cited by in corpus (24)

• Reflection, transmutation, annihilation and resonance in two-component kink collisions
• Effect of scalings and translations on the supersymmetric quantum mechanical structure of soliton systems
• 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
• The Dirichlet Casimir effect for ${\varphi }^4$ theory in (3+1) dimensions: A new renormalization approach
• Double-delta potentials: one dimensional scattering. The Casimir effect and kink fluctuations
• Kink dynamics in the MSTB Model
• Quantum oscillations of self-dual Abrikosov-Nielsen-Olesen vortices
• On a family of (1+1)-dimensional scalar field theory models: kinks, stability, one-loop mass shifts
• Quantum-induced interactions in the moduli space of degenerate BPS domain walls
• One-loop kink mass shifts: a computational approach
• BPS and non-BPS kinks in a massive non-linear S^2-sigma model
• Generalized MSTB Models: Structure and kink varieties
• On domain walls in a Ginzburg-Landau non-linear S^2-sigma model
• Kink fluctuation asymptotics and zero modes
• Quantum magnetic flux lines, BPS vortex zero modes, and one-loop string tension shifts
• Domain walls in a non-linear ${\mathbb{S}}^2$-sigma model with homogeneous quartic polynomial potential
• Stability Equation and Two-Component Eigenmode for Domain Walls in a Scalar Potential Model
• On self-gravitating kinks in two-dimensional pseudo-riemannian universes
• On the semiclassical mass of ${\mathbb{S}}^2$-kinks
• One-loop mass shift formula for kinks and self-dual vortices
• One-loop fluctuations of semi-local self-dual vortices
• Degenerate kinks and kink-instantons in two-dimensional scalar field models with $\mathcal{N}=1$ and $\mathcal{N}=2$ supersymmetry
• BPS and semi-BPS kink families in two-component scalar field theories with fourth-degree polynomial potentials