Reality’s glue.

The article focuses on recent advances in understanding the Yang-Mills theory, which describes the strong nuclear force that binds quarks inside protons and neutrons, and the related unresolved problem known as the Yang-Mills mass gap. This problem concerns how mass emerges from a theory initially formulated with massless particles called gluons, which mediate the strong force. Despite the theory’s success in matching experimental results through numerical lattice computations, a rigorous mathematical proof of the mass gap in four-dimensional space-time remains elusive and is one of the Clay Mathematics Institute’s Millennium Prize Problems. Recent progress by mathematicians using probabilistic and analytical techniques has provided partial solutions in lower dimensions and related models, offering new hope for a full proof that would deepen our fundamental understanding of mass and the forces holding atomic nuclei together. [Extracted from the article]