A dynamical gluon mass solution in Mandelstam's approximation

Details A dynamical gluon mass solution in Mandelstam's approximation A dynamical gluon mass solution in Mandelstam's approximation

2004-05-04

arxiv.org/abs/hep-ph/0405024v3

Int.J.Mod.Phys. A20 (2005) 7613-7632

Physics

High Energy Physics

High Energy Physics - Phenomenology

23 pages, 4 figures. Revised version with improved discussion on the renormalization procedure

Scientific paper

10.1142/S0217751X05025061

We discuss the pure gauge Schwinger-Dyson equation for the gluon propagator in the Landau gauge within an approximation proposed by Mandelstam many years ago. We show that a dynamical gluon mass arises as a solution. This solution is obtained numerically in the full range of momenta that we have considered without the introduction of any ansatz or asymptotic expression in the infrared region. The vertex function that we use follows a prescription formulated by Cornwall to determine the existence of a dynamical gluon mass in the light cone gauge. The renormalization procedure differs from the one proposed by Mandelstam and allows for the possibility of a dynamical gluon mass. Some of the properties of this solution, such as its dependence on $\Lambda_{QCD}$ and its perturbative scaling behavior are also discussed.

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