On the gauge-algebra dependence of Landau-gauge Yang-Mills propagators

Details On the gauge-algebra dependence of Landau-gauge Yang-Mills propagators On the gauge-algebra dependence of Landau-gauge Yang-Mills propagators

2010-12-20

arxiv.org/abs/1012.4284v2

JHEP 1102:076,2011

Physics

High Energy Physics

High Energy Physics - Lattice

33 pages, 14 figures, 4 tables; v2: minor changes, version to appear in JHEP

Scientific paper

10.1007/JHEP02(2011)076

Yang-Mills theory can be formulated for any semi-simple Lie algebra, and thus any semi-simple Lie group. In principle, the dynamics could be different for each one. However, functional studies predict that the propagators in Landau gauge depend only quantitatively on the gauge algebra. In particular, genuine non-perturbative effects should be present even in the large N-limit for su(N) gauge algebras. Lattice gauge theory is used to investigate this in detail. The propagators are determined for the gauge groups SU(2), SU(3), SU(4), SU(5), SU(6) and G2, in two and three dimensions. In accordance with the prediction no qualitative dependence on the gauge group is found. In particular, no diminishing of non-perturbative contributions is found for N becoming large in the SU(N) case. Quantitative effects are found, and analyzed in detail.

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