One-loop RG improvement of the screened massive expansion in the Landau gauge

Abstract

The RG improvement of the screened massive expansion is studied at one loop in two renormalization schemes, the momentum subtraction (MOM) scheme and the screened momentum subtraction (SMOM) scheme. The respective Taylor-scheme running couplings are shown not to develop a Landau pole, provided that the initial value of the coupling is sufficiently small. The improved ghost and gluon propagators are found to behave as expected, displaying dynamical mass generation for the gluons and the standard UV limit of ordinary perturbation theory. In the MOM scheme, when optimized by a matching with the fixed-coupling framework, the approach proves to be a powerful method for obtaining propagators which are in excellent agreement with the lattice data already at one loop. After optimization, the gluon mass parameter is left as the only free parameter of the theory and is shown to play the same role of the ordinary perturbative QCD scale ${\Lambda }_{\text{QCD}}$.

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Cited by in corpus (13)

• Two-loop three-gluon vertex from the Curci-Ferrari model and its leading infrared behavior to all loop orders
• One-loop unquenched three-gluon and ghost-gluon vertex in the Curci-Ferrari model
• Thermal extension of the screened massive expansion in the Landau gauge
• The Nielsen identities in screened theories
• Dynamically massive linear covariant gauges: setup and first results
• Ghost-gluon vertex in the presence of the Gribov horizon: General kinematics
• Analytic continuation and physical content of the gluon propagator
• QCD phase diagram from the gluon propagator at finite temperature and density
• Screened massive expansion of Schwinger-Dyson equations
• A window on infrared QCD with small expansion parameters
• Topological Susceptibility in the Superconductive Phases of Quantum Chromodynamics: a Dyson-Schwinger Perspective
• One-loop analytic structure of the deep-infrared Landau-gauge gluon propagator at finite temperature
• Screened massive expansion of the quark propagator in the Landau gauge