The Yang–Mills existence and mass gap problem is an unsolved problem in mathematical physics and mathematics, and one of the seven Millennium Prize Problems...

the existence of the quantum Yang–Mills theory and a mass gap. Prove that for any compact simple gauge group G, a non-trivial quantum Yang–Mills theory...

Unsolved problem in physics: Yang–Mills theory and the mass gap. Quantum particles described by the theory have mass but the classical waves of the field...

The Navier–Stokes existence and smoothness problem concerns the mathematical properties of solutions to the Navier–Stokes equations, a system of partial...

would be no special value in "creative leaps", no fundamental gap between solving a problem and recognizing the solution once it's found. — Scott Aaronson...

superconductor model Beta function (physics) Lattice gauge theory Yang–Mills existence and mass gap Barger, V.; Phillips, R. (1997). Collider Physics. Addison–Wesley...

the Hodge conjecture is a major unsolved problem in algebraic geometry and complex geometry that relates the algebraic topology of a non-singular complex...

formulation) Symmetry breaking Symmetry in physics Yang–Mills theory Yang–Mills existence and mass gap 1964 PRL symmetry breaking papers Doughty, Noel (1990)...

geometrization conjecture) and expanded this to a book. All three groups found that the gaps in Perelman's papers were minor and could be filled in using...

Shankar, Arul (2015). "Ternary cubic forms having bounded invariants, and the existence of a positive proportion of elliptic curves having rank 0". Annals...