Infrared Behaviour of the Gluon Propagator: Confining or Confined?

Abstract

The possible infrared behaviour of the gluon propagator is studied analytically, using the Schwinger-Dyson equations, in both the axial and the Landau gauge. The possibility of a gluon propagator less singular than $1/k^2$ when $k^2\to 0$ is investigated and found to be inconsistent, despite claims to the contrary, whereas an infrared enhanced one is consistent. The implications for confinement are discussed.

Comments: 20 pages, latex, 2 figures