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The implementation of the linear covariant gauge on the lattice faces a conceptual problem: using the standard compact discretization, the gluon field is bounded, while the four-divergence of the gluon field satisfies a Gaussian distribution, i.e.
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A. Cucchieri and T. Mendes, Constraints on the IR behavior of the gluon propagator in Yang-Mills theories , Phys. Rev. Lett. 100
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A. Cucchieri and T. Mendes, Constraints on the IR behavior of the ghost propagator in Yang-Mills theories , Phys. Rev. D 78
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D. Binosi and J. Papavassiliou, Pinch Technique: Theory and Applications , Phys. Rept. 479
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A. Cucchieri, T. Mendes and E. M. S. Santos, Simulating linear covariant gauges on the lattice: a new approach , PoS QCD-TNT09
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