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The infrared behaviour of gluon and ghost propagators, ghost-gluon vertex andthree-gluon vertex is investigated for both the covariant Landau and thenon-covariant Coulomb gauge. Assuming infrared ghost dominance, we find aunique infrared exponent in the d=4 Landau gauge, while in the d=3+1 Coulombgauge we find two different infrared exponents. We also show that a finitedressing of the ghost-gluon vertex has no influence on the infrared exponents.Finally, we determine the infrared behaviour of the three-gluon vertexanalytically and calculate it numerically at the symmetric point in the Coulombgauge.Comment: 25 pages, 6 figures, accepted by Phys. Rev. D, references added,  typos correcte

Infrared analysis of propagators and vertices of Yang-Mills theory in Landau and Coulomb gauge