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arXiv 1012.2231hep-lathep-ph
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具有小化学势的(2+1)味QCD的泛O(N)标度和手性临界线

Universal O(N) scaling and the chiral critical line in (2+1)-flavor QCD with small chemical potentials

Christian Schmidt, Swagato Mukherjee

摘要:

我们表明,对于小的化学势值的相变线的曲率可以推导出从分析的手征凝聚体的标度性质和它的双折射率。我们利用最近对(2+1)味QCD中磁状态方程的分析,在那里可以建立QCD参数和普适标度场之间的联系。剩余的约化温度对化学势的依赖性可以通过分析混合磁化率来确定,混合磁化率是从夸克质量和化学势的导数中获得的。我们提取这种依赖性,它描述了相变线的曲率,在两个值的截止,$aT=1/4$和$1/8$。我们发现,截止效应是小的曲率参数,并确定过渡线的手征限制在轻夸克化学势的领先秩序。我们得到了$T_c(μ_B)/T_c(0) = 1 - 0.00656(66) (μ_B/T)^2 +{\cal O}(μ_B^4)$。

英文摘要:

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 $T_c(μ_B)/T_c(0) = 1 - 0.00656(66) (μ_B/T)^2 +{\cal O}(μ_B^4)$.

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