Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2002-02-20
Phys.Rev. D65 (2002) 125006
Physics
High Energy Physics
High Energy Physics - Phenomenology
22 Pages, 10 Figures, LaTeX2e, revtex4, some notes and references added in response to communications
Scientific paper
10.1103/PhysRevD.65.125006
In the covariant description of confinement, one expects the ghost correlations to be infrared enhanced. Assuming ghost dominance, the long-range behavior of gluon and ghost correlations in Landau gauge QCD is determined by one exponent kappa. The gluon propagator is infrared finite (vanishing) for kappa =1/2 (kappa > 1/2) which is still under debate. Here, we study critical exponent and coupling for the infrared conformal behavior from the asymptotic form of the solutions to the Dyson-Schwinger equations in an ultraviolet finite expansion scheme. The value for kappa is directly related to the ghost-gluon vertex. Assuming that it is regular in the infrared, one obtains kappa = 0.595. This value maximizes the critical coupling alpha_c(kappa), yielding alpha_c^max = (4 Pi/Nc) 0.709 approx. 2.97 for Nc=3. For larger kappa the vertex acquires an infrared singularity in the gluon momentum, smaller ones imply infrared singular ghost legs. Variations in alpha_c remain within 5% from kappa = 0.5 to 0.7. Above this range, alpha_c decreases more rapidly with alpha_c -> 0 as kappa -> 1 which sets the upper bound on kappa.
Lerche Christoph
Smekal Lorenz von
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