QCD thermodynamics with continuum extrapolated Wilson fermions II

We continue our investigation of 2+1 flavor QCD thermodynamics using dynamical Wilson fermions in the fixed scale approach. Two additional pion masses, approximately 440 MeV and 285 MeV, are added to our previous work at 545 MeV. The simulations were performed at 3 or 4 lattice spacings at each pion mass. The renormalized chiral condensate, strange quark number susceptibility and Polyakov loop is obtained as a function of the temperature and we observe a decrease in the light chiral pseudo-critical temperature as the pion mass is lowered while the pseudo-critical temperature associated with the strange quark number susceptibility or the Polyakov loop is only mildly sensitive to the pion mass. These findings are in agreement with previous continuum results obtained in the staggered formulation.Comment: 19 pages, 13 figures, published versio

QCD thermodynamics with continuum extrapolated Wilson fermions II

We continue our investigation of 2+1 flavor QCD thermodynamics using dynamical Wilson fermions in the fixed scale approach. Two additional pion masses, approximately 440 MeV and 285 MeV, are added to our previous work at 545 MeV. The simulations were performed at 3 or 4 lattice spacings at each pion mass. The renormalized chiral condensate, strange quark number susceptibility and Polyakov loop is obtained as a function of the temperature and we observe a decrease in the light chiral pseudo-critical temperature as the pion mass is lowered while the pseudo-critical temperature associated with the strange quark number susceptibility or the Polyakov loop is only mildly sensitive to the pion mass. These findings are in agreement with previous continuum results obtained in the staggered formulation

The two-dimensional Ising-model on Lattices with Trivial Homotopy Group

Contents 1 Introduction 5 2 Thermodynamics, Spin Models and QFT 7 2.1 Basic Thermodynamics . . . . . . . . . . . . . . . . . . . . . . . 7 2.2 Spin Models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 2.3 Phenomenology of a 2 nd Order Phase Transition . . . . . . . . . 10 2.4 The Relation to Quantum Field Theory . . . . . . . . . . . . . . 12 3 The Two Dimensional Ising-Model 15 3.1 The One Dimensional Ising-Model . . . . . . . . . . . . . . . . . 15 3.2 The Onsager Solution of the Two Dimensional Ising Model . . . 18 4 Boundary Conditions and Finite Size Effects 23 4.1 Finite Size Effects . . . . . . . . . . . . . . . . . . . . . . . . . . 23 4.2 Shift of the Pseudocritical Coupling due to Boundary Effects . . 25 5 Lattice Geometry 27 5.1 Lattice Geometry . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 5.2 Spherical Geometry . . . . . . . . . . . . . . . . . . . . . . .