A scheme for solutions of Higgs' boson equation in the De Sitter universe with radial symmetry

Authors

DOI:

https://doi.org/10.33064/iycuaa2022873742

Keywords:

Higgs boson, De Sitter space, radially symmetric, stability, convergence, finite difference scheme

Abstract

In this work, we present a numerical scheme of the Higgs Boson equation in De Sitter space. One of its main characteristics is its variational form, which translates into the modeling of the energy associated with the continuous case. The equation shown in this work is a generalization that contemplates a potential and a time-dependent diffusion coefficient. The proposed scheme is an implicit, consistent, stable and convergent method to the continuous system. The results of this scheme are shown and discussed to show its efficiency and severity, all following the theoretical results.

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Author Biographies

Luis Fernando Muñoz-Pérez, Universidad Autónoma de Aguascalientes

Centro de Ciencias Básicas, Depto. de Matemáticas y Física

Jorge Eduardo Macías Díaz, Universidad Autónoma de Aguascalientes

Centro de Ciencais B´ásicas, Depto. de Matemáticas y Física

José Antonio Guerrero-Díaz de León, Universidad Autónoma de Aguascalientes

Centro de Ciencias Básicas, Departamento de Estadística

Ángel Eduardo Muñoz Zavala, Universidad Autónoma de Aguascalientes

Centro de Ciencias Básicas, Depto. De Estadística

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Published

2022-12-31

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Artículos de Investigación

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