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We discuss the relation between the Polyakov loop and the chiral orderparameter at finite temperature by using the Gocksch-Ogilvie model withfundamental or adjoint quarks. The model is based on the double expansion ofstrong coupling and large dimensionality on the lattice. In an analytic waywith the mean field approximation employed, we show that the confined phasemust be accompanied by the spontaneous breaking of the chiral symmetry for bothfundamental and adjoint quarks. Then we proceed to numerical analysis to lookinto the coupled dynamics of the Polyakov loop and the chiral order parameter.In the case of fundamental quarks, the pseudo-critical temperature inferredfrom the Polyakov loop behavior turns out to coincide with the pseudo-criticaltemperature of the chiral phase transition. We discuss the physical implicationof the coincidence of the pseudo-critical temperatures in two extreme cases;one is the deconfinement dominance and the other is the chiral dominance. Asfor adjoint quarks, the deconfinement transition of first order persists andthe chiral phase transition occurs distinctly at higher temperature than thedeconfinement transition does. The present model study gives us a plausiblepicture to understand the results from the lattice QCD and aQCD simulations.Comment: 19 pages, 9 figures, to appear in Phys.Rev.D. Appendix A is modified;  references are adde

Relation between the Polyakov loop and the chiral order parameter at strong coupling