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

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

2006-05-11

arxiv.org/abs/hep-th/0605115v2

Phys.Rev.D73:125019,2006

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, 6 figures, accepted by Phys. Rev. D, references added, typos corrected

Scientific paper

10.1103/PhysRevD.73.125019

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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