On the invariant measure for the Yang–Mills configuration space in (3+1) dimensions Original Research Article

We consider a gauge-invariant Hamiltonian analysis for Yang–Mills theories in three spatial dimensions. The gauge potentials are parametrized in terms of a matrix variable which facilitates the elimination of the gauge degrees of freedom. We develop an approximate calculation of the volume element on the gauge-invariant configuration space. We also make a rough estimate of the ratio of 0++ glueball mass and the square root of string tension by comparison with (2+1)-dimensional Yang–Mills theory.