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

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

2007-10-04

arxiv.org/abs/0710.1054v1

POSLAT2007:329,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

7 pages, 6 figures; talk presented at Lattice 2007

Scientific paper

Lattice studies of the infrared regime of gauge theories are complicated by the required extensive limits, the performed gauge fixing and the demand for high statistics. Using a general power counting scheme for the infrared limit of Landau gauge SU(N) Yang-Mills theory in arbitrary dimensions we show that the infrared behavior of Greens functions is both qualitatively and quantitatively similar in two, three and four spacetime dimensions. Therefore, lower dimensional lattice simulations can serve as a simplified laboratory to analyze the presently applied approximations and to obtain first results for higher correlation functions.

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