SU(2) lattice gluon propagators at finite temperatures in the deep infrared region and Gribov copy effects
Abstract
We study numerically the SU(2) Landau gauge transverse and longitudinal gluon propagators at non-zero temperatures T both in confinement and deconfinement phases. The special attention is paid to the Gribov copy effects in the IR-region. Applying 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 non-zero in the infinite volume limit, in disagreement with the suggestion made in [1]. 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 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.
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