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.

20 pages, latex, 2 figures

References in corpus (4)

• Dyson-Schwinger Equations and the Application to Hadronic Physics
• A Lattice Study of the Gluon Propagator in Momentum Space
• Dynamical chiral symmetry breaking and confinement with an infrared-vanishing gluon propagator?
• Should the Pomeron and imaginary parts be modelled by two gluons and real quarks?

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