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arXiv · hep-th/0408237

On the Yang-Mills wave functional in Coulomb gauge

H. Reinhardt·C. Feuchter
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Abstract

We investigate the dependence of the Yang-Mills wave functional in Coulomb gauge on the Faddeev-Popov determinant. We use a Gaussian wave functional multiplied by an arbitrary power of the Faddeev-Popov determinant. We show, that within the resummation of one-loop diagrams the stationary vacuum energy is independent of the power of the Faddeev-Popov determinant and, furthermore, the wave functional becomes field-independent in the infrared, describing a stochastic vacuum. Our investigations show, that the infrared limit is rather robust against details of the variational ansätze for the Yang-Mills wave functional. The infrared limit is exclusively determined by the divergence of the Faddeev-Popov determinant at the Gribov horizon.

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H. Reinhardt, C. Feuchter. 2004-08-31. On the Yang-Mills wave functional in Coulomb gauge. https://doi.org/10.1103/physrevd.71.105002

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