Yang-Mills Existence and Mass Gap

[franzhusch]

What is the conjecture

Yang–Mills Existence and Mass Gap. Prove that for any compact simple gauge group G, a non-trivial quantum Yang–Mills theory exists on R 4 {\displaystyle \mathbb {R} ^{4}} and has a mass gap Δ > 0. Existence includes establishing axiomatic properties at least as strong as those cited in Streater & Wightman (1964), Osterwalder & Schrader (1973) and Osterwalder & Schrader (1975).

One of the Millennium Problems posed by the Clay Mathematics Institute.

See here for the PDF by the Clay Mathematics Institute:
https://www.claymath.org/wp-content/uploads/2022/06/yangmills.pdf

Prerequisites needed

A lot of Quantum Field Theory I suppose. If we ever get to state, where we could formalize it in, then we probably would need the Prerequisites from PhysLean.

AMS categories

• ams-81

Choose either option

• I plan on adding this conjecture to the repository
• This issue is up for grabs: I would like to see this conjecture added by somebody else