The infrared behavior of Landau gauge Yang-Mills theory in d=2, 3 and 4 dimensions

Abstract

We develop a general power counting scheme for the infrared limit of Landau gauge SU(N) Yang-Mills theory in arbitrary dimensions. Employing a skeleton expansion, we find that the infrared behavior is qualitatively independent of the spacetime dimension d. In the cases d=2, 3 and 4 even the quantitative results for the infrared exponents of the vertices differ only slightly. Therefore, corresponding lattice simulations provide interesting qualitative information for the physical case. We furthermore find that the loop integrals depend only weakly on the numerical values of the IR exponents.

10 pages, 10 figures, version to be published in Phys. Lett. B

References in corpus (3)

• Scaling behavior and positivity violation of the gluon propagator in full QCD
• Two- and three-point Green's functions in two-dimensional Landau-gauge Yang-Mills theory
• Large volume behaviour of Yang-Mills propagators

Cited by in corpus (4)

• Three-point vertices in Landau-gauge Yang-Mills theory
• What the Infrared Behaviour of QCD Vertex Functions in Landau gauge can tell us about Confinement
• Lower dimensional Yang-Mills theory as a laboratory to study the infrared regime
• Dynamically induced scalar quark confinement: A link between chiral symmetry breaking and confinement