Abstract
We study the classical dynamics of the Abelian Higgs model employing an asymptotic multiscale expansion method, which uses the ratio of the Higgs to the gauge field amplitudes as a small parameter. We derive an effective nonlinear Schrödinger equation for the gauge field, and a linear equation for the scalar field containing the gauge field as a nonlinear source. This equation is used to predict the existence of oscillons and oscillating kinks for certain regimes of the ratio of the Higgs to the gauge field masses. Results of direct numerical simulations are found to be in very good agreement with the analytical findings, and show that the oscillons are robust, while kinks are unstable. It is also demonstrated that oscillons emerge spontaneously as a result of the onset of the modulational instability of plane wave solutions of the model. Connections of the results with the phenomenology of superconductors is discussed. © 2013 American Physical Society.
Recommended Citation
V. Achilleos et al., "Oscillons And Oscillating Kinks In The Abelian-Higgs Model," Physical Review D - Particles, Fields, Gravitation and Cosmology, vol. 88, no. 4, article no. 45015, American Physical Society, Aug 2013.
The definitive version is available at https://doi.org/10.1103/PhysRevD.88.045015
Department(s)
Physics
International Standard Serial Number (ISSN)
1550-2368; 1550-7998
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2024 American Phyiscal Society, All rights reserved.
Publication Date
20 Aug 2013
