Two-point functions of quenched lattice QCD in Numerical Stochastic Perturbation Theory. (II) The gluon propagator in Landau gauge

Abstract

This is the second of two papers devoted to the perturbative computation of the ghost and gluon propagators in SU(3) Lattice Gauge Theory. Such a computation should enable a comparison with results from lattice simulations in order to reveal the genuinely non-perturbative content of the latter. The gluon propagator is computed by means of Numerical Stochastic Perturbation Theory: results range from two up to four loops, depending on the different lattice sizes. The non-logarithmic constants for one, two and three loops are extrapolated to the lattice spacing $a\to 0$ continuum and infinite volume $V\to \infty$ limits.

20 pages, 13 figures, version to be published, references added in the Introduction, figs 3,4,5 changed for better visibility

References in corpus (36)

• Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics
• The Infrared Behavior of QCD Green's Functions - Confinement, Dynamical Symmetry Breaking, and Hadrons as Relativistic Bound States
• Aspects of the Functional Renormalisation Group
• On the Viability of Lattice Perturbation Theory
• Gluon and ghost propagators in the Landau gauge: Deriving lattice results from Schwinger-Dyson equations
• Lattice gluodynamics computation of Landau-gauge Green's functions in the deep infrared
• On the infrared behavior of Landau gauge Yang-Mills theory
• The Infrared Behavior of Gluon and Ghost Propagators in Landau Gauge QCD
• Quark Confinement from Color Confinement
• On the Infrared Exponent for Gluon and Ghost Propagation in Landau Gauge QCD
• A Solution to Coupled Dyson-Schwinger Equations for Gluons and Ghosts in Landau Gauge
• Non-perturbative Landau gauge and infrared critical exponents in QCD
• Non-perturbative Faddeev-Popov formula and infrared limit of QCD
• Scaling behavior and positivity violation of the gluon propagator in full QCD
• The strong coupling and its running to four loops in a minimal MOM scheme
• Gluon propagators and quark confinement
• Ghost-gluon running coupling, power corrections and the determination of ${\Lambda }_{\overline{\mathrm{MS}}}$
• Towards the infrared limit in SU(3) Landau gauge lattice gluodynamics
• Three loop anomalous dimension of non-singlet quark currents in the RI' scheme
• On the Nature of the Phase Transition in SU(N), Sp(2) and E(7) Yang-Mills theory
• Computation of the relation between the bare lattice coupling and the MSbar coupling in SU(N) gauge theories to two loops
• Four Loop Result in $SU(3)$ Lattice Gauge Theory by a Stochastic Method: Lattice Correction to the Condensate
• Ghost-gluon coupling, power corrections and ${\Lambda }_{\overline{\mathrm{MS}}}$ from twisted-mass lattice QCD at Nf=2
• O(a^2) corrections to the one-loop propagator and bilinears of clover fermions with Symanzik improved gluons
• Signals of confinement in Green functions of SU(2) Yang-Mills theory
• The three-loop beta function of SU(N) lattice gauge theories with Wilson fermions
• Numerical Stochastic Perturbation Theory for full QCD
• Infrared analysis of Dyson-Schwinger equations taking into account the Gribov horizon in Landau gauge
• Center vortices and the quark propagator in SU(2) gauge theory
• Landau Gauge QCD: Functional Methods versus Lattice Simulations
• High-loop perturbative renormalization constants for Lattice QCD (I): finite constants for Wilson quark currents
• Two-point functions of quenched lattice QCD in Numerical Stochastic Perturbation Theory. (I) The ghost propagator in Landau gauge
• Confinement and Green functions in Landau-gauge QCD
• Renormalization of infrared contributions to the QCD pressure
• Higher-loop gluon and ghost propagators in Landau gauge from numerical stochastic perturbation theory
• The Landau gauge lattice ghost propagator in stochastic perturbation theory

Cited by in corpus (8)

• SU(3) Landau gauge gluon and ghost propagators using the logarithmic lattice gluon field definition
• $H(4)$ tensor representations for the lattice Landau gauge gluon propagator and the estimation of lattice artefacts
• High-loop perturbative renormalization constants for Lattice QCD (II): three-loop quark currents for tree-level Symanzik improved gauge action and n_f=2 Wilson fermions
• High-loop perturbative renormalization constants for Lattice QCD (III): three-loop quark currents for Iwasaki gauge action and n_f=4 Wilson fermions
• Non-perturbative renormalization in lattice QCD
• Determination of LambdaMS from the gluon and ghost propagators in Landau gauge
• NSPT estimate of the improvement coefficient $c_A$ to two loops
• NSPT study of the three-loop lattice gluon propagator in Landau gauge