Kink fluctuation asymptotics and zero modes

Abstract

In this paper we propose a refinement of the heat kernel/zeta function treatment of kink quantum fluctuations in scalar field theory, further analyzing the existence and implications of a zero energy fluctuation mode. Improved understanding of the interplay between zero modes and the kink heat kernel expansion delivers asymptotic estimations of one-loop kink mass shifts with remarkably higher precision than previously obtained by means of the standard Gilkey-DeWitt heat kernel expansion.

21 pages, 8 figures, to be published in The European Physical Journal C

References in corpus (3)

• Neutral Bound States in Kink-like Theories
• On a family of (1+1)-dimensional scalar field theory models: kinks, stability, one-loop mass shifts
• Lectures on the mass of topological solitons

Cited by in corpus (8)

• Kink dynamics in a system of two coupled scalar fields in two space-time dimensions
• Quantum-induced interactions in the moduli space of degenerate BPS domain walls
• Dissecting zero modes and bound states on BPS vortices in Ginzburg-Landau superconductors
• 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
• Novel results for kinklike structures and their connections to quantum mechanics
• Higgs phase in a gauge $\mathbf{U}(1)$ non-linear ${\mathbf{CP}}^1$-model. Two species of BPS vortices and their zero modes
• Soliton Fermionic number from the heat kernel expansion