Asymptotic Scaling and Infrared Behavior of the Gluon Propagator
Abstract
The Landau gauge gluon propagator for the pure gauge theory is evaluated on a 32^3x64 lattice with a physical volume of (3.35^3x6.7)fm^4. Comparison with two smaller lattices at different lattice spacings allows an assessment of finite volume and finite lattice spacing errors. Cuts on the data are imposed to minimize these errors. Scaling of the gluon propagator is demonstrated between beta=6.0 and beta=6.2. The tensor structure is measured and found to be in good agreement with the Landau gauge form, except at very small momentum values, where some small finite volume errors persist. A number of functional forms for the momentum dependence of the propagator are investigated. The form D(q^2)=D_ir+D_uv, where D_ir(q^2)~(q^4+M^4)^{-1} and D_uv is an infrared regulated one-loop asymptotic form, is found to provide an adequate description of the data over the entire momentum region studied --- thereby bridging the gap between the infrared confinement region and the ultraviolet asymptotic region. The best estimate for the mass parameter M is (790+/-40) MeV.Keywords
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