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arXiv · 2301.09660

The Simplest Oscillon and its Sphaleron

N. S. Manton·T. Romańczukiewicz
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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.

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N. S. Manton, T. Romańczukiewicz. 2023-01-23. The Simplest Oscillon and its Sphaleron. https://doi.org/10.1103/physrevd.107.085012

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