Fluctuating solutions for the evolution of domain walls

Abstract

A class of oscillating Lorentz covariant configurations for the evolution of the domain walls in diverse dimensions are analytically obtained. It is shown that the oscillating solutions in the case of domain walls are responsible for structures which are larger than the usual kink-like configurations and, in the Lorentz covariant evolution case, lead to long-standing configurations.

14 pages, 7 figures

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• Towards the fate of the oscillating false vacuum
• Analytical Multi-kinks in smooth potentials
• Coupled scalar fields Oscillons and Breathers in some Lorentz Violating Scenarios
• False Vacuum Transitions - Analytical Solutions and Decay Rate Values
• Supersymmetry and Fermionic Modes in an Oscillon Background