Target 01YM
Clay Millennium Prize Problem
Yang–Mills existence and mass gap
Construct a non-trivial quantum Yang–Mills theory on four-dimensional Euclidean space for every compact simple gauge group, with a strictly positive mass gap.
Relational-physics programme
YM · RHClay Millennium Prize Problem
Construct a non-trivial quantum Yang–Mills theory on four-dimensional Euclidean space for every compact simple gauge group, with a strictly positive mass gap.
Clay Millennium Prize Problem
Prove that every non-trivial zero of the analytically continued Riemann zeta function has real part one half.