2010/11/30 by V. G. Bornyakov, V.K. Mitrjushkin, V. K. Mitrjushkin · 1 citation
Mathematics · Physics and Astronomy · #Algorithm #Deconfinement #Gluon #High-Energy Particle Collisions Research #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Propagator #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #hep-lat
paper · pdf · doi:10.1103/physrevd.84.094503
11 pages, 14 figures, 3 tables. Few minor changes
arxiv created 2011/01/25 · openalex publication_date 2011/11/14 · arxiv updated 2013/05/29 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study numerically the SU(2) Landau gauge transverse and longitudinal gluon propagators at nonzero temperatures T both in confinement and deconfinement phases. Special attention is paid to the Gribov copy effects in the IR region. Applying a powerful gauge fixing algorithm, we find that the Gribov copy effects for the transverse propagator DT(p) are very strong in the infrared, while the longitudinal propagator DL(p) shows very weak (if any) Gribov copy dependence. The value DT(0) tends to decrease with growing lattice size; however, DT(0) is nonzero in the infinite volume limit, in disagreement with the suggestion made in [I. Zahed and D. Zwanziger, Phys. Rev. D 61, 037501 (2000).]. We show that in the infrared region, DT(p) is not consistent with the pole-type formula not only in the deconfinement phase but also for T<Tc. We introduce a new definition of the magnetic infrared mass scale (``magnetic screening mass'') mM. The electric mass mE has been determined from the momentum space longitudinal gluon propagator. We study also the (finite) volume and temperature dependence of the propagators as well as discretization errors.