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

Abstract

I review recent developments in the studies of the phase structure and equation of state in finite temperature QCD on the lattice.

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 proceedings

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• Quark-mass dependence of the three-flavor QCD phase diagram at zero and imaginary chemical potential: Model prediction
• Chiral phase transition of QCD with $N_f=2+1$ flavors from holography
• Chiral phase transition and meson spectrum in improved soft-wall AdS/QCD
• Differences and similarities between fundamental and adjoint matters in SU(N) gauge theories
• Understanding of QCD at high density from Z3-symmetric QCD-like theory
• Theta vacuum and entanglement interaction in the three-flavor Polyakov-loop extended Nambu-Jona-Lasinio model
• Determination of the strength of the vector-type four-quark interaction in the entanglement Polyakov-extended Nambu-Jona-Lasino model
• Dynamical Locking of the Chiral and the Deconfinement Phase Transition in QCD
• Determination of $U(1{)}_{\mathrm{A}}$ restoration from pion and $a_0$-meson screening masses: Toward the chiral regime
• Effective model approach to meson screening masses at finite temperature
• Determination of hadron-quark phase transition line from lattice QCD and two-solar-mass neutron star observations
• A practical solution to the sign problem at finite theta-vacuum angle
• Practical approach to the sign problem at finite theta-vacuum angle
• Properties of 2+1-flavor QCD in the imaginary chemical potential region: model prediction