TY - CONF A1 - Smith, Dominik A1 - Schmidt, Christian T1 - On the universal critical behavior in 3-flavor QCD T2 - Proceedings of Science N2 - We analyze the universal critical behavior at the chiral critical point in QCD with three degenerate quark masses. We confirm that this critical point lies in the universality class of the three dimensional Ising model. The symmetry of the Ising model, which is Z(2), is not directly realized in the QCD Hamiltonian. After making an ansatz for the magnetization- and energy-like operators as linear admixtures of the chiral condensate and the gluonic action, we determine several non-universal mixing and normalization constants. These parameters determine an unambiguous mapping of the critical behavior in QCD to that of the 3d-Ising model. We verify its validity by showing that the thus obtained orderparameter scales in accordance with the magnetic equation of state of the 3d-Ising model. Y1 - 2012 UR - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/27443 UR - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-274437 SN - 1824-8039 N1 - XXIX International Symposium on Lattice Field Theory July 10-16 2011 Squaw Valley, Lake Tahoe, California VL - 2011 IS - (Lattice 2011)216 SP - 1 EP - 7 PB - Scuola Internazionale Superiore di Studi Avanzati CY - Trieste ER -