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

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

2007-05-25

arxiv.org/abs/0705.3809v2

Phys.Lett.B659:434-440,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1016/j.physletb.2007.10.073

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.

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