Finite temperature and chemical potential in lattice QCD and its critical point

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We propose a method to study lattice QCD at finite temperature (T) and chemical potential (μ). We compare the method with direct results and with the Glasgow method by using n_f=4 QCD at Im(μ)\neq0. We locate the critical endpoint (E) of QCD on the Re(μ)-T plane. We use n_f=2+1 dynamical staggered quarks with semi-realistic masses on L_t=4 lattices. Our results are based on {\cal{O}}(10^3-10^4) configurations.
8 pages, 4 figures. Talk given at the XXX. Hirschegg Workshop on Ultrarelativistic Heavy-Ion Collisions, January 13-19, 2002

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