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High Energy Physics - Lattice

arXiv:hep-lat/0506031 (hep-lat)
[Submitted on 29 Jun 2005]

Title:Asymptotic behavior of the ghost propagator in SU3 lattice gauge theory

Authors:Ph. Boucaud, J.P. Leroy, A. Le Yaouanc, A.Y. Lokhov, J. Micheli, O. Pene, J. Rodriguez-Quintero, C. Roiesnel
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Abstract: We study the asymptotic 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 fm, 0.070 fm 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 GeV to 6.0 GeV. The three-loop values are consistent with those extracted from previous perturbative studies of the gluon propagator. However the effective $\Lambda_{\ms}$ scale which reproduces the data does depend 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 non-perturbative corrections will be discussed elsewhere.
Comments: 26 pages, 7 figures
Subjects: High Energy Physics - Lattice (hep-lat); High Energy Physics - Phenomenology (hep-ph)
Report number: LPT-Orsay 05-37, CPHT RR 037.0605, UHU-FT/05-11
Cite as: arXiv:hep-lat/0506031
  (or arXiv:hep-lat/0506031v1 for this version)
  https://doi.org/10.48550/arXiv.hep-lat/0506031
Journal reference: Phys.Rev.D72:114503,2005
Related DOI: https://doi.org/10.1103/PhysRevD.72.114503

Submission history

From: Claude Roiesnel [view email]
[v1] Wed, 29 Jun 2005 18:37:22 UTC (38 KB)
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