TY - CONF A1 - Fromm, Michael A1 - Langelage, Jens A1 - Lottini, Stefano A1 - Philipsen, Owe T1 - Effective theory for QCD at finite temperature and density from strong coupling expansion T2 - Proceedings of Science N2 - QCD at finite temperature and denisty remains intractable by Monte Carlo simulations for quark chemical potentials m >∼T. It has been a long standing problem to derive effective theories from QCD which describe the phase structure of the former with controlled errors. We propose a solution to this problem by a combination of analytical and numerical methods. Starting from lattice QCD with in Wilson’s formulation, we derive an effective action in terms of Polyakov loops by means of combined strong coupling and hopping expansions. The theory correctly reflects the centre-symmetry in the pure gauge limit and its breaking through quarks. It is valid for heavy quarks and lattices up to Nt ∼ 6. Its sign problem can be solved and we are able to calculate the deconfinement transition of QCD with heavy quarks for all chemical potentials. Y1 - 2012 UR - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/27315 UR - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-273153 SN - 1824-8039 N1 - International Workshop on QCD Green’s Functions, Confinement and Phenomenology, September 05-09, 2011 Trento Italy VL - 2011 IS - (QCD-TNT-II)035 SP - 1 EP - 12 PB - Scuola Internazionale Superiore di Studi Avanzati CY - Trieste ER -