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Yang mills existence and mass gap

Yang Mills Existence And Mass Gap

In mathematical physics, the Yang Mills existence and mass gap problem is one of the seven Millennium Prize Problems announced by the Clay Mathematics Institute with the prize of US$1,000,000.

Prove that for any compact simple gauge group G, a non-trivial quantum Yang Mills theory that, exists on R4 and has a mass gap 0.

Existence expose the axiomatic properties mentioned in the reference of Streater and Wightman (1964), Osterwalder and Schrader (1973) and Osterwalder and Schrader (1975). In this statement, Yang Mills theory is the (non Abelian) quantum field theory underlying the Standard Model of particle physics.

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