The scaling infrared DSE solution as a critical end-point for the family of decoupling ones

Details The scaling infrared DSE solution as a critical end-point for the family of decoupling ones The scaling infrared DSE solution as a critical end-point for the family of decoupling ones

2010-12-02

arxiv.org/abs/1012.0448v1

AIP Conf.Proc.1343:188-190,2011

Physics

High Energy Physics

High Energy Physics - Phenomenology

Presented in QCSHS09; Madrid (Spain), 30 Aug. 2010

Scientific paper

10.1063/1.3574972

Both regular (the zero-momentum ghost dressing function not diverging), also named decoupling, and critical (diverging), also named scaling, Yang-Mills propagators solutions can be obtained by analyzing the low-momentum behaviour of the ghost propagator Dyson-Schwinger equation (DSE) in Landau gauge. The asymptotic expression obtained for the regular or decoupling ghost dressing function up to the order ${\cal O}(q^2)$ fits pretty well the low-momentum ghost propagator obtained through the numerical integration of the coupled gluon and ghost DSE in the PT-BFM scheme. Furthermore, when the size of the coupling renormalized at some scale approaches some critical value, the PT-BFM results seems to tend to the the scaling solution as a limiting case.

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