Horaƫiu Năstase
Abstract
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.
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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.
Key concepts: Introduction to gauge theory, Yang–Mills theory, Supersymmetric gauge theory, BRST quantization, Quantum gauge theory, Gauge covariant derivative, Mathematical physics, Gauge theory