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arXiv · 1401.1192

Gluon Propagator in Fractional Analytic Perturbation Theory

Pedro Allendes·Cesar Ayala·Gorazd Cvetič
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Abstract

We consider the gluon propagator in the Landau gauge at low spacelike momenta and with the dressing function $Z(Q^2)$ at the two-loop order. We incorporate the nonperturbative effects by making the (noninteger) powers of the QCD coupling in the dressing function $Z(Q^2)$ analytic (holomorphic) via the Fractional Analytic Perturbation Theory (FAPT) model, and simultaneously introducing the gluon dynamical mass in the propagator as motivated by the previous analyses of the Dyson-Schwinger equations. The obtained propagator has behavior compatible with the unquenched lattice data ($N_f=2+1$) at low spacelike momenta $0.4 \ {\rm GeV} < Q \lesssim 10$ GeV. We conclude that the removal of the unphysical Landau singularities of the powers of the coupling via the (F)APT prescription, in conjunction with the introduction of the dynamical mass $M \approx 0.62$ GeV of the gluon, leads to an acceptable behavior of the propagator in the infrared regime.

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Pedro Allendes, Cesar Ayala, Gorazd Cvetič. 2014-01-06. Gluon Propagator in Fractional Analytic Perturbation Theory. https://doi.org/10.1103/physrevd.89.054016

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