The Simplest Oscillon and its Sphaleron

Abstract

Oscillons in a simple, 1-dimensional scalar field theory with a cubic potential are discussed. The theory has a classical sphaleron, whose decay generates a version of the oscillon. A good approximation to the small-amplitude oscillon is constructed explicitly using the asymptotic expansion of Fodor et al., but for larger amplitudes a better approximation uses the discrete, unstable and stable deformation modes of the sphaleron.

arXiv comment26 pages, 18 figures

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• Nonlinear dynamics of oscillons and transients during preheating after single field inflation
• Geometrically constrained localized configurations engendering non-topological profile
• Vacuum state perturbed by an oscillon: composite configurations in ${\varphi }^4$ model