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Yang–Mills theory as a book category covers works focused on non‑abelian gauge theories — the mathematical structures and physical models built from gauge symmetry, gauge fields, and their dynamics — bridging advanced theoretical physics and modern differential geometry. Titles in this category range from rigorous mathematical monographs that treat principal bundles, connections, and the analytical properties of Yang–Mills equations, to quantum field theory textbooks and research treatments that discuss renormalization, asymptotic freedom, confinement, instantons, lattice gauge theory, and applications to the Standard Model. You’ll also find historical surveys and popular‑science introductions that explain the conceptual significance of gauge symmetry and its role in particle physics, as well as problem books and lecture notes aimed at graduate students. Typical readers are graduate students, researchers in mathematical physics, high‑energy theorists, and mathematically inclined physicists; prerequisites usually include quantum field theory, differential geometry, and functional analysis. The category emphasizes both deep formalism and its physical implications, making it a crossroads of modern mathematics and fundamental physics.

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