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YANG-MILLS THEORY
YANG-MILLS THEORY
The equations of quantum physics describe the world of elementary particles. Almost fifty years ago, the
physicists Yang and Mills discovered a remarkable relationship between geometry and particle physics,
embodied in these equations. In so doing, they paved the way to later combination of the laws for
electro-magnetic forces with those for strong and weak ones. The predictions culled from these equations
describe particles observed at laboratories around the world, including Brookhaven, Stanford, and CERN.
However, the gauge theories of Yang and Mills are not known to have solutions compatible with quantum
mechanics, nor to describe the particles observed in nature. Despite this, the ?mass gap? hypothesis
concerning supposed solutions to the equations is taken for granted by most physicists and provides an
explanation of why we do not observe ?quarks.? Solving this mathematical problem requires establishing a
mathematical proof of this phenomenon.
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