On the semiclassical mass of ${\mathbb{S}}^2$-kinks

Abstract

One-loop mass shifts to the classical masses of stable kinks arising in a massive non-linear ${\mathbb{S}}^2$-sigma model are computed. Ultraviolet divergences are controlled using the heat kernel/zeta function regularization method. A comparison between the results achieved from exact and high-temperature asymptotic heat traces is analyzed in depth.

RevTex file, 15 pages, 2 figures. Version to appear in Journal of Physics A

References in corpus (7)

• Kinks in a non-linear massive sigma model
• Quantum oscillations of self-dual Abrikosov-Nielsen-Olesen vortices
• One loop corrections to the mass of self-dual semi-local planar topological solitons
• BPS and non-BPS kinks in a massive non-linear S^2-sigma model
• Lectures on the mass of topological solitons
• One-loop mass shift formula for kinks and self-dual vortices
• One-loop fluctuations of semi-local self-dual vortices

Cited by in corpus (6)

• Kink dynamics in the MSTB Model
• On domain walls in a Ginzburg-Landau non-linear S^2-sigma model
• Domain walls in a non-linear ${\mathbb{S}}^2$-sigma model with homogeneous quartic polynomial potential
• On self-gravitating kinks in two-dimensional pseudo-riemannian universes
• Higgs phase in a gauge $\mathbf{U}(1)$ non-linear ${\mathbf{CP}}^1$-model. Two species of BPS vortices and their zero modes
• Solitary Waves in Massive Nonlinear S^N-Sigma Models