Infrared gluon and ghost propagator exponents from lattice QCD

• Published in: The European physical journal. C, Particles and fields Vol. 62; no. 3; pp. 525 - 534
• Main Authors: Oliveira, O., Silva, P. J.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer-Verlag 01.08.2009; Springer; Springer Nature B.V
• Subjects: Astronomy; Astrophysics and Cosmology; Elementary Particles; Exact sciences and technology; Exponents; Ghosts; Gluons; Hadrons; Heavy Ions; Infrared; Lattices; Mathematical analysis; Measurement Science and Instrumentation; Nuclear Energy; Nuclear Physics; Physics; Physics and Astronomy; Power law; Quantum chromodynamics; Quantum Field Theories; Quantum Field Theory; Regular Article - Theoretical Physics; Simulation; String Theory; The physics of elementary particles and fields; 11.15.Ha; 12.38.Aw; 14.70.Dj; 12.38.-t; Confinement; Lattice theory; Gluons; Elementary particles; Propagator; Compatibility; Power law; Mathematical physics
• ISSN: 1434-6044; 1434-6052
• DOI: 10.1140/epjc/s10052-009-1064-5

The compatibility of the pure power law infrared solution of QCD and lattice data for the gluon and ghost propagators in Landau gauge is discussed. For the gluon propagator, the lattice data are well described by a pure power law with an infrared exponent κ ∼0.53, in the Dyson–Schwinger notation. κ is measured using a technique that suppresses finite volume effects. This value is consistent with a vanishing zero momentum gluon propagator, in agreement with the Gribov–Zwanziger confinement scenario. For the ghost propagator, the lattice data seem not to follow a pure power law, at least for the range of momenta accessed in our simulation.