Developments in Finite Temperature QCD on the Lattice with Dynamical Quarks

I report on some recent developments in nonperturbative studies of finite temperature QCD with dynamical quarks on the lattice. I discuss new studies of improved lattice actions and their application to finite temperature QCD. I also summarize the status of lattice investigations about the order of the finite temperature QCD transition for the case of two flavors of degenerate light quarks, using both staggered and Wilson lattice fermions.Comment: Review presented at the International Workshop on ``Physics of Relativistic Heavy Ion Collisions'', Kyoto, Japan, 9--11 June 1997. To be published in the Proceedings [Prog. Theor. Phys., Suppl.

Lattice results on the phase structure and equation of state in QCD at finite temperature

I review recent developments in the studies of the phase structure and equation of state in finite temperature QCD on the lattice.Comment: 6 pages, 12 figures, plenary talk given at the conference "Quark Confinement and the Hadron Spectrum IX", August 30 - September 3, 2010, Madrid, Spain; version to appear in the AIP proceeding

Thermodynamic properties of QCD with two flavors of Wilson-type lattice quarks

I report on a study of finite temperature QCD by the CP-PACS Collaboration toward a precise determination of the equation of state with dynamical u,d quarks. Based on a systematic simulation using improved Wilson-type quarks on lattices with temporal size $N_t=4$ and 6, the energy density and pressure are calculated as functions of temperature and renormalized light quark mass in the range $T/T_c \approx 0.7$--2.5 and $m_{\rm PS}/m_{\rm V} = 0.65$--0.95. Results for $N_t=4$ are found to contain significant scaling violations, while results for $N_t=6$ are suggested to be not far from the continuum limit. On the other hand, the quark mass dependence in the EOS turned out to be small for m_{\rm PS}/m_{\rm V} \simlt 0.8.Comment: Talk presented at Statistical QCD, Aug. 26-30, 2001, Bielefeld, Germany. LaTeX2e, 6 pages, 4 PS figures, espcrc1.sty neede