Effective gluon mass and infrared fixed point in QCD
Abstract
We report on a special type of solutions for the gluon propagator of pure QCD, obtained from the corresponding non-linear Schwinger-Dyson equation formulated in the Feynman gauge of the background field method. These solutions reach a finite value in the deep infrared and may be fitted using a massive propagator, with the crucial characteristic that the effective ``mass'' employed depends on the momentum transfer. Specifically, the gluon mass falls off as the inverse square of the momentum, as expected from the operator-product expansion. In addition, one may define a dimensionless quantity, which constitutes the generalization in a non-Abelian context of the universal QED effective charge. This strong effective charge displays asymptotic freedom in the ultraviolet whereas in the low-energy regime it freezes at a finite value, giving rise to an infrared fixed point for QCD.
Cite
@article{arxiv.0709.3482,
title = {Effective gluon mass and infrared fixed point in QCD},
author = {Arlene C. Aguilar and Joannis Papavassiliou},
journal= {arXiv preprint arXiv:0709.3482},
year = {2008}
}
Comments
6 pages, 2 figures, Talk given at QCD@work 2007, Martina Franca, Italy, 16-20 June 2007