Abstract
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.
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