https://doi.org/10.1140/epjc/s10052-009-1066-3
Regular Article - Theoretical Physics
Infrared behavior of three-point functions in Landau gauge Yang–Mills theory
1
Institut für Physik, Karl-Franzens Universität Graz, Universitätsplatz 5, 8010, Graz, Austria
2
Department of Physics, Washington University, St. Louis, MO, 63130, USA
* e-mail: markus.huber@uni-graz.at
Received:
22
December
2008
Revised:
20
February
2009
Published online:
16
June
2009
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 κ.
© Springer-Verlag , 2009
