Calculation of the non-perturbative strong coupling from first principles

Abstract

The success of the screened massive expansion is investigated in the framework of a screened momentum-subtraction scheme for the running of the strong coupling in pure Yang-Mills theory. By the exact Slavnov-Taylor and Nielsen identities, a very predictive and self-contained set of stationary conditions are derived for the optimization of the fixed-coupling expansion, yielding explicit analytical one-loop expressions for the propagators, the coupling and the beta function, from first principles. An excellent agreement is found with the lattice data. In the proposed screened renormalization scheme, a monotonic running coupling emerges which saturates in the IR at the finite IR stable fixed point $g=9.40$ where the beta function crosses the zero. A simple analytical expression is derived for the leading behavior of the beta in the IR.

In the last versions a typo has been corrected in Table I and a figure has been added (fig1b), illustrating the optimization of the ghost function

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Cited by in corpus (16)

• QCD Running Couplings and Effective Charges
• Spontaneous chiral symmetry breaking in the massive Landau gauge: realistic running coupling
• Two-loop three-gluon vertex from the Curci-Ferrari model and its leading infrared behavior to all loop orders
• One-loop RG improvement of the screened massive expansion in the Landau gauge
• Lattice-motivated QCD coupling and hadronic contribution to muon $g-2$
• $H(4)$ tensor representations for the lattice Landau gauge gluon propagator and the estimation of lattice artefacts
• Infrared-suppressed QCD coupling and the hadronic contribution to muon g-2
• Thermal extension of the screened massive expansion in the Landau gauge
• Evaluation of neutrinoless double beta decay: QCD running to sub-GeV scales
• The Nielsen identities in screened theories
• 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
• 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