Infrared Behavior of Three-Point Functions in Landau Gauge Yang-Mills Theory

Details Infrared Behavior of Three-Point Functions in Landau Gauge Yang-Mills Theory Infrared Behavior of Three-Point Functions in Landau Gauge Yang-Mills Theory

2008-12-22

arxiv.org/abs/0812.4045v2

Eur.Phys.J.C62:761-781,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

21 pages, 29 figures; numerical data of the infrared dressing functions can be obtained from the authors v2: a few minor chang

Scientific paper

10.1140/epjc/s10052-009-1066-3

Analytic solutions for the three-gluon and ghost-gluon vertices in Landau gauge Yang-Mills theory at low momenta are presented in terms of hypergeometric series. They do not only show the expected scaling behavior but also additional kinematic divergences when only one momentum goes to zero. These singularities, which have also been proposed previously, induce a strong dependence on the kinematics in many dressing functions. The results are generalized to two and three dimensions and a range of values for the ghost propagator's infrared exponent kappa.

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