"Maxwell's Equations, Gauge Fields, and Yang-Mills Theory" by Nicholas Alexander Gabriel

Date of Award

Spring 4-27-2017

Document Type

Honors Project

Degree Name

Bachelor of Science

Department

Mathematics

First Advisor

Chiang, Yuan-Jen

Second Advisor

Helmstutler, Randall

Major or Concentration

Mathematics

Abstract

Starting from Maxwell's theory of electromagnetism in a Minkowski spacetime, we generalize to arbitrary spacetimes and gauge groups. The gauge groups U(1) and SU(3) and their associated Yang-Mills theories are discussed in detail.

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