Millennium Prize Problems

6

Yang-Mills existence and mass gap

Yang–Mills existence and mass gap illustrationYang–Mills existence and mass gap illustration
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Yang–Mills existence and mass gap illustration

The Yang-Mills existence and mass gap problem originates from quantum field theory and investigates the behavior of elementary particles. It asks whether a quantum field theory with specific properties (Yang-Mills theory) possesses a mass gap, meaning that a non-zero minimum energy is required to excite the system.