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Topological foundations of three-dimensional symmetry breaking dynamics for both Abelian and non-abelian Higgs models

https://doi.org/10.22405/2226-8383-2024-25-5-228-236

Abstract

We examine the role that geometrical and topological concepts have played in the recent development of theoretical physics, particularly in the areas of superstring theory and non-Abelian gauge theories. We also demonstrate the importance of these concepts for a better comprehension of the physics’ dynamical laws. In this paper, we present a numerical study of the three-dimensional symmetry breaking dynamics for both non-abelian and abelian Higgs
models. The non-trivial topology of the manifold of vacuum field configurations is the source of the topological excitations in the abelian Higgs model and in the other field theoretic models that
will be discussed. In three-dimensional multicomponent lattice Abelian-Higgs (LAH) models
minimally connected to a noncompact Abelian gauge field, we study the topological phase changes that occur in these models.

About the Authors

Eman Almukhur
Applied Science Private University
Jordan


Abeer Adaileh
Applied Science Private University
Jordan


Tala Sasa
Applied Science Private University
Jordan


Abeer Al-Nana
Prince Sattam Bin Abdulaziz University
Saudi Arabia


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Review

For citations:


Almukhur E., Adaileh A., Sasa T., Al-Nana A. Topological foundations of three-dimensional symmetry breaking dynamics for both Abelian and non-abelian Higgs models. Chebyshevskii Sbornik. 2024;25(5):228-236. (In Russ.) https://doi.org/10.22405/2226-8383-2024-25-5-228-236

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