Finite-temperature QCD on the lattice

A summary is given of the current status of lattice investigations of quant um chromodynamics at finite temperature. After a brief introduction into th e formulation of QCD on the lattice and into the treatment of lattice QCD i n numerical simulations, the current knowledge about the critical temperatu re of the transition from the hadron to the quark-gluon plasma phase is pre sented. The status of investigations of the nature of this transition is di scussed. Moreover, analyses of the equation of state in the high-temperatur e phase as well as computations of the excitation spectrum at nonvanishing temperature are presented. (C) 1999 American Institute of Physics. [S1063-7 796(99)00403-9].