The Quantum Yang–Mills Theory

In axiomatic quantum field theory, the postulate of uniqueness vacuum (a pure state) is independent from other axioms and equivalent to cluster decomposition property. The latter, however, implies a Coulomb or Yukawa attenuation interactions at growing distances hence cannot accommodate confining properties strong interaction. Thesolution Yang–Mills theory given previously uses an auxiliary incorporate Gauss’s law demonstrates existence two separate vacua, perturbative vacuum, therefore resulting in mixed state, deriving confinement, as well related, expected multiple vacua is, fact, by axiomatic, algebraic via state eigenspaces field. general property does not hold. Because energy density difference between physics admit Lagrangian description. I clarify above remarks related previous solution interaction conclude with some discussion criticism mathematical problem tentative comments regarding spin-2 case.