YangMills theory describes non-Abelian gauge theories from "summary" of The Quantum Theory of Fields by Steven Weinberg,Weinberg S
Yang-Mills theory is a quantum field theory that describes interactions between elementary particles through non-Abelian gauge symmetries. In this framework, the fundamental fields are associated with vector potentials that transform under a non-Abelian Lie group, such as SU(2) or SU(3). The gauge symmetry of the theory implies that the Lagrangian remains invariant under local transformations of these fields, corresponding to different choices of gauge. The key feature of Yang-Mills theory is the presence of gauge bosons, which mediate the interactions between particles. These gauge bosons arise from the kinetic terms in the Lagrangian, which involve the covariant derivatives of the vector potentials. The non-Abelian nature of the theory leads to self-interactions among the gauge bosons, giving rise to non-trivial dynamics and rich phenomenology. One of the central results of Yang-Mills theory is the existence of ma...
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