On the invariant measure for the Yang-Mills configuration space in (3+1) dimensions

Details On the invariant measure for the Yang-Mills configuration space in (3+1) dimensions On the invariant measure for the Yang-Mills configuration space in (3+1) dimensions

2003-02-22

arxiv.org/abs/hep-th/0302176v2

Nucl.Phys. B691 (2004) 182-194

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 14 pages

Scientific paper

10.1016/j.nuclphysb.2004.05.008

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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