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

Schleifenbaum, Wolfgang; Leder, Markus; Reinhardt, Hugo

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

Authors

Schleifenbaum, Wolfgang

Leder, Markus

Reinhardt, Hugo

Description

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