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At high temperature measurements of the Polyakov loop suggest a deconfinementtransition to the (strongly interacting) quark-gluon plasma. At the same timeat the infinitely large temperature the four-dimensional QCD is reduced to thethree-dimensional QCD that is confining. The Polyakov loop and related Z_3symmetry are strict order parameters only for infinitely heavy quarks. In sucha situation the SU(2)_CS and SU(4) symmetries of confinement in the light quarksector could be helpful to distinguish between the confining and deconfiningphase in a regime where SU(2)_L \times SU(2)_R and U(1)_A symmetries aremanifest. In order to reveal a presence or absence of these symmetries oneneeds to measure and compare correlation functions related by these symmetrytransformations.

Can we decide whether QCD is confining or not at high temperature?