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

Physics – High Energy Physics – High Energy Physics - Lattice

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

Scientific paper

10.1016/j.nuclphysb.2010.09.002

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.

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