Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2007-10-04
AIPConf.Proc.964:330-335,2007
Physics
High Energy Physics
High Energy Physics - Phenomenology
contribution to the proceedings of the workshop QCD@work 2007, Martina Franca (Italy), June 2007, proceedings to be published
Scientific paper
10.1063/1.2823872
The phase diagram of QCD at finite temperature and density and the existence of a critical point are currently very actively researched topics. Although tremendous progress has been made, in the case of two light quark flavors even the order of the phase transition at zero density is still under discussion. Finite-size scaling is a powerful method for the analysis of phase transitions in lattice QCD simulations. From the scaling behavior, critical exponents can be tested and the order as well as the universality class of a phase transition can be established. This requires knowledge of the critical exponents and the scaling behavior. We use a non-perturbative Renormalization Group method to obtain critical exponents and the finite-size scaling functions for the O(4) universality class in three dimensions. These results are useful for a comparison to the actual scaling behavior in lattice QCD simulations with two flavors, as well as for an estimate of the size of the scaling region and the deviations from the expected scaling behavior.
Braun Jean-Jacques
Klein Bertram
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