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yang-mills action

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26 - Non-Abelian Gauge Theory and the Yang–Mills Equation
from Part II - Solitons and Topology; Non-Abelian Theory
Horaƫiu Năstase, Universidade Estadual Paulista, São Paulo
Book:

Classical Field Theory

Published online:

04 March 2019

Print publication:

14 March 2019, pp 236-243
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Summary

We define nonabelian gauge theory. We start by defining nonabelian gauge groups and their properties, then (minimal) coupling other fields to the gauge field, through a covariant derivative. The action and gauge invariance of the pure Yang-Mills theory is given, and the resulting Yang-Mills equation (equation of motion) is derived.