The 1+1 Dimensional Abelian Higgs Model Revisited: Physical Sector and Solitons
Laure Gouba (1,2), Jan Govaerts (3,4,5), M. Norbert Hounkonnou (5), ((1) NITheP, Stellenbosch Institute for Advanced Study, Stellenbosch, Rep., South Africa (2) AIMS, Muizenberg, Rep. South Africa, (3) CP3, UCL,, Louvain-la-Neuve, Belgium, (4) Fellow
TL;DR
This paper revisits the 1+1 dimensional Abelian Higgs model, demonstrating that its physical sector admits soliton solutions to the Euler-Lagrange equations, highlighting their significance in the model's structure.
Contribution
It provides a detailed analysis of soliton solutions within the physical sector of the 1+1 dimensional Abelian Higgs model, emphasizing their role and properties.
Findings
Solitons exist in the physical sector of the model.
The solutions satisfy the Euler-Lagrange equations.
The analysis clarifies the model's soliton structure.
Abstract
In this paper the two dimensional abelian Higgs model is revisited. We show that in the physical sector, the solutions to the Euler-Lagrange equations include solitons.
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Taxonomy
TopicsNumerical methods for differential equations · Nonlinear Waves and Solitons