论文标题
伪临界温度在平均场近似中的质量依赖性
Mass-dependence of pseudocritical temperature in mean field approximation
论文作者
论文摘要
我们将计算限制在平均场近似中，这可能导致明显的临界行为。我们通过考虑不同的连衣裙模型来分析使用不同形状的相互作用内核的缩放行为。我们获得的关键指数与$ 3D $ \ $ \ textrm {o}（4）$通用类中的关键指数一致。关键区域的大小高达$ m_ {0}^{} \ le 2 \ sim 4 \; $ mev在此平均字段近似中，该近似自然设置了关键区域的上限，因为均值范围以外的波动通常会减小关键区域。此外，我们分析了手性相变温度与当前夸克质量无关的最大性手性敏感性和PION质量范围的可能百分比。结果表明，百分比和Pion质量范围取决于相互作用内核的细节，而相互作用内核的细节在Gluon模型中不同。
We restrict our computation in the mean field approximation which could lead to a clear critical behavior. We analyze the scaling behavior with different shape of interaction kernel by considering different dressed-gluon models. The critical exponent we obtained is consistent with that in the $3D$ $\textrm{O}(4)$ universality class. The size of critical region is up to $m_{0}^{} \le 2\sim 4\;$MeV in this mean field approximation which sets naturally an upper bound of the critical region since the fluctuations beyond mean-field usually diminish the critical region. Besides, we analyze the possible percentage of the maximum chiral susceptibility and pion mass range at which the chiral phase transition temperature is independent of the current quark mass. The results show that the percentage and the pion mass range depend on the details of interaction kernel, which differs in gluon models.
