Finite-temperature QCD on the lattice

A summary is given of the current status of lattice investigations of quantum chromodynamics at finite temperature. After a brief introduction into the formulation of QCD on the lattice and into the treatment of lattice QCD in numerical simulations, the current knowledge about the critical temperature of the transition from the hadron to the quark-gluon plasma phase is presented. The status of investigations of the nature of this transition is discussed. Moreover, analyses of the equation of state in the high-temperature phase as well as computations of the excitation spectrum at nonvanishing temperature are presented. (C) 1999 American Institute of Physics. [S1063-7796(99)00403-9].