Date of Award

Spring 5-5-2016

Document Type

Thesis

Degree Name

Bachelor of Arts

Department

Physics

First Advisor

Tom Giblin

Abstract

We develop numerical methods to study non-abelian, $SU(2)$ gauge fields as a potential preheating channel. In particular, we examine $m^2 \phi^2$ inflation with a conformal, dilaton-like coupling to the non-abelian sector. We compare classical "continuum" simulations to evolutions implementing lattice gauge theory. Finally, we discuss the numerical implementation of both methods and compare the results of each method while demonstrating the efficacy of $SU(2)$ fields to preheat the Universe.

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