Date of Award


Degree Name

Master of Arts



First Advisor

Dr. Allen C. Dotson

Access Setting

Masters Thesis-Open Access


The Problem and Its Background

This thesis presents a study of the interaction between two arbitrary fields, named Yang-Mills fields1 for their originators. The basic equations for the calculations of the Yang-Mills interaction are due to modern quantum field theory and its specific application to quantum electrodynamics.2

Much useful information can be obtained from the formulation of the dynamical equations for a classical system: for example, the classical description of the electromagnetic field, based on Maxwell's equations, leads to wave concepts. Then using this formalism as a starting point, one can proceed to the quantum theory of free fields, and finally to the quantum theory of interacting fields.

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