On the Yang-Mills wave functional in Coulomb gauge

Details On the Yang-Mills wave functional in Coulomb gauge On the Yang-Mills wave functional in Coulomb gauge

2004-08-31

arxiv.org/abs/hep-th/0408237v1

Phys.Rev. D71 (2005) 105002

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, no figures

Scientific paper

10.1103/PhysRevD.71.105002

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 ans\"atze 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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