Abstract
We present two different families of solutions of the U(1)-Higgs model in a (1. +. 1) dimensional setting leading to a localization of the gauge field. First we consider a uniform background (the usual vacuum), which corresponds to the fully higgsed-superconducting phase. Then we study the case of a non-uniform background in the form of a domain wall which could be relevantly close to the critical point of the associated spontaneous symmetry breaking. For both cases we obtain approximate analytical nodeless and nodal solutions for the gauge field resulting as bound states of an effective Pöschl-Teller potential created by the scalar field. The two scenaria differ only in the scale of the characteristic localization length. Numerical simulations confirm the validity of the obtained analytical solutions. Additionally we demonstrate how a kink may be used as a mediator driving the dynamics from the critical point and beyond.
Recommended Citation
G. C. Katsimiga et al., "Classical Dynamics Of The Abelian Higgs Model From The Critical Point And Beyond," Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, vol. 748, pp. 117 - 124, Elsevier, Sep 2015.
The definitive version is available at https://doi.org/10.1016/j.physletb.2015.06.065
Department(s)
Physics
Publication Status
Open Access
International Standard Serial Number (ISSN)
0370-2693
Document Type
Article - Journal
Document Version
Final Version
File Type
text
Language(s)
English
Rights
© 2024 The Authors, All rights reserved.
Creative Commons Licensing
This work is licensed under a Creative Commons Attribution 4.0 License.
Publication Date
02 Sep 2015
