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

Wolfgang Schleifenbaum·Markus Leder·Hugo Reinhardt
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Abstract

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.

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Wolfgang Schleifenbaum, Markus Leder, Hugo Reinhardt. 2006-05-29. Infrared analysis of propagators and vertices of Yang--Mills theory in Landau and Coulomb gauge. https://doi.org/10.1103/physrevd.73.125019

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