Higgs Boson equation in de Sitter spacetime: Numerical investigation of bubbles using GPUs

Authors

Jacob N. Banda, University of Texas-Pan American

Date of Award

8-2015

Document Type

Thesis

Degree Name

Master of Science (MS)

Department

Mathematics

First Advisor

Dr. Andras Balogh

Second Advisor

Dr. Damburu Bhatta

Third Advisor

Dr. Anahit Galstyan

Abstract

The Higgs field, along with its corresponding boson, represent a milestone for modern day particle physics. In this work we consider the Higgs boson equation in de Sitter spacetime. Previous work by K. Yagdjian [23] has formulated sufficient conditions for the existence of the zeros of global solutions in the interior of their supports. In searching for such solutions, we turn to heterogeneous parallel computing, which allows for faster computation through graphical processing units (GPUs). Armed with general-purpose computation on graphics hardware (GPGPU) techniques and explicit numerical schemes, we approximate solutions of the equation for the Higgs boson along with the creation, growth, and interaction of the zeros, or bubbles.

Comments

Copyright 2015 Jacob N. Banda. All Rights Reserved.

https://www.proquest.com/dissertations-theses/higgs-boson-equation-de-sitter-spacetime/docview/1728065232/se-2?accountid=7119

Granting Institution

University of Texas-Pan American