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

• Published in: Nuclear physics. B Vol. 831; no. 1; pp. 262 - 284
• Main Authors: Di Renzo, F., Ilgenfritz, E.-M., Perlt, H., Schiller, A., Torrero, C.
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 21.05.2010
• Subjects: [formula omitted] Lattice Gauge Theory; Landau gauge; Lattice Perturbation Theory; Numerical Stochastic Perturbation Theory; Perturbative ghost propagator; Perturbative ghost propagator; Lattice Perturbation Theory; Numerical Stochastic Perturbation Theory; Landau gauge; SU Lattice Gauge Theory
• ISSN: 0550-3213; 1873-1562
• DOI: 10.1016/j.nuclphysb.2010.01.018

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 → 0 limits, based on a general strategy that we discuss in detail.