What are the key features and applications of non-abelian gauge theory in theoretical physics?

Non-abelian gauge theory is a branch of theoretical physics that describes the interactions between elementary particles using non-commutative gauge fields. Key features include the presence of non-commuting gauge fields and the concept of gauge symmetry breaking. This theory is essential for understanding the strong nuclear force and the interactions of quarks and gluons in quantum chromodynamics. It also plays a crucial role in the Standard Model of particle physics, which describes the electromagnetic, weak, and strong nuclear forces.