2010/12/10 by Christian Schmidt, Schmidt, Christian, Swagato Mukherjee +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Pulsars and Gravitational Waves Research #Quantum Chromodynamics and Particle Interactions #hep-lat #hep-ph
paper · pdf · doi:10.48550/arxiv.1012.2231
Proceedings of the XXVIII International Symposium on Lattice Field Theory, Lattice2010
arxiv created 2010/12/10 · openalex publication_date 2010/12/10 · arxiv updated 2010/12/13 · openalex created_date 2022/09/05 · openalex updated_date 2026/07/28
We show that for small values of the chemical potential the curvature of the phase transition line can be deduced from an analysis of scaling properties of the chiral condensate and its susceptibilities. We make use of a recent analysis of the magnetic equation of state in (2+1)-flavor QCD where a connection between the QCD parameters and the universal scaling fields could be established. The remaining dependence of the reduced temperature on the chemical potential can be fixed by an analysis of a mixed susceptibility, obtained from a derivative with respect to quark mass and chemical potential. We extract this dependence which describes the curvature of the phase transition line, at two values of the cut-off, aT=1/4 and 1/8. We find that cut-off effects are small for the curvature parameter and determine the transition line in the chiral limit to leading order in the light quark chemical potential. We obtain Tc(μB)/Tc(0) = 1 - 0.00656(66) (μB/T)2 +\cal O(μB4).