Solutions to the SchwingerDyson equation for the gluon and their implications for confinement
Abstract
Using the SchwingerDyson equations the possible infrared behaviour of the gluon propagator is studied. Previous work performed in axial gauges is reviewed, the approximations needed detailed and the difficulties of their justification discussed. We then turn to the Landau gauge and investigate the possibility of a gluon propagator less singular than $1/p^{2}$ when $p^{2} \rightarrow 0$. We find that this infrared softened behaviour of the gluon propagator is inconsistent; only an infrared enhanced gluon, as singular as $1/p^{4}$ when $p^{2} \rightarrow 0$ is consistent with the truncated SchwingerDyson equation. The implications for confinement and for the modelling of the Pomeron are discussed.
 Publication:

arXiv eprints
 Pub Date:
 December 1995
 arXiv:
 arXiv:hepph/9512273
 Bibcode:
 1995hep.ph...12273B
 Keywords:

 High Energy Physics  Phenomenology
 EPrint:
 8 pages, latex, 2 figures, Invited talk given at the ELFE Summer School and Workshop on Confinement Physics, Cambridge, June 1995