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Lower dimensional Yang-Mills theory as a laboratory to study the infrared regime

Presenter: Kai Schwenzer — University of Graz

Reinhard Alkofer, Christian Fischer, Markus Huber and Kai Schwenzer

A general power counting scheme for the infrared limit of Landau gauge SU(N) Yang-Mills theory in arbitrary dimensions is developed. Employing a skeleton expansion it is shown 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, lattice simulations in lower dimensions provide interesting qualitative information for the physical case.