QCD thermodynamics at finite density

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Recent progress in extending finite temperature lattice QCD simulations from the $T$ axis into the finite density plane is reviewed. The covered topics are a calculation of the transition line by multidimensional reweighting, screening mass calculations in dimensionally reduced QCD and simulations at imaginary $μ$.
12 pages, 6 figures. Invited talk given at `Quantum Monte Carlo 2001', Trento (Italy), July 3-6, 2001

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