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

V. P. Nair·A. Yelnikov
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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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V. P. Nair, A. Yelnikov. 2004-01-21. On the invariant measure for the Yang-Mills configuration space in (3+1) dimensions. https://doi.org/10.1016/j.nuclphysb.2004.05.008

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