Large momentum behavior of the ghost propagator in SU(3) lattice gauge theory

Journal Article · Thu Dec 01 00:00:00 EST 2005 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.72.114503· OSTI ID:20774444

Boucaud, Ph; Leroy, J P; Le Yaouanc, A; Micheli, J; Pene, O ^[1]; Lokhov, A Y; Roiesnel, C ^[2]; Rodriguez-Quintero, J ^[3]

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1. Laboratoire de Physique Theorique et Hautes Energies, Universite de Paris XI, Batiment 211, 91405 Orsay Cedex (France)
2. Centre de Physique Theorique de l'Ecole Polytechnique, F91128 Palaiseau cedex (France)
3. Departamento Fisica Aplicada, Facultad Ciencias Experimentales, Universidad de Huelva, 21071 Huelva (Spain)

We study the large momentum behavior of the ghost propagator in the quenched SU(3) lattice gauge theory with Wilson action. The study is performed on lattices with a physical volume fixed around 1.6 fm and different lattice spacings: 0.100, 0.070, and 0.055 fm. We implement an efficient algorithm for computing the Faddeev-Popov operator on the lattice. We are able to extrapolate the lattice data for the ghost propagator towards the continuum and to show that the extrapolated data on each lattice can be described up to four-loop perturbation theory from 2.0 to 6.0 GeV. The three-loop values are consistent with those extracted from previous perturbative studies of the gluon propagator. However the effective {lambda}{sub MS} scale which reproduces the data depends strongly upon the order of perturbation theory and on the renormalization scheme used in the parametrization. We show how the truncation of the perturbative series can account for the magnitude of the dependency in this energy range. The contribution of nonperturbative corrections will be discussed elsewhere.

• OSTI ID: 20774444
• Journal Information: Physical Review. D, Particles Fields, Vol. 72, Issue 11; Other Information: DOI: 10.1103/PhysRevD.72.114503; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGORITHMS
CORRECTIONS
GAUGE INVARIANCE
GEV RANGE
GLUONS
LATTICE FIELD THEORY
PERTURBATION THEORY
PROPAGATOR
QUANTUM CHROMODYNAMICS
RENORMALIZATION
SU-3 GROUPS