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

Abstract

This is the first of a series of two papers on the perturbative computation of the ghost and gluon propagators in SU(3) Lattice Gauge Theory. Our final aim is to eventually compare with results from lattice simulations in order to enlight the genuinely non-perturbative content of the latter. By means of Numerical Stochastic Perturbation Theory we compute the ghost propagator in Landau gauge up to three loops. We present results in the infinite volume and $a\to 0$ limits, based on a general strategy that we discuss in detail.

27 pages, 11 figures

References in corpus (4)

• Lattice gluodynamics computation of Landau-gauge Green's functions in the deep infrared
• Quark Confinement: The Hard Problem of Hadron Physics
• O(a^2) corrections to the one-loop propagator and bilinears of clover fermions with Symanzik improved gluons
• High-loop perturbative renormalization constants for Lattice QCD (I): finite constants for Wilson quark currents

Cited by in corpus (5)

• SU(3) Landau gauge gluon and ghost propagators using the logarithmic lattice gluon field definition
• Two-point functions of quenched lattice QCD in Numerical Stochastic Perturbation Theory. (II) The gluon propagator in Landau gauge
• 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
• NSPT estimate of the improvement coefficient $c_A$ to two loops