在使用拉格朗日乘子的NJL模型中绘制QCD phase diagram的创新方法
An innovative approach for sketching the QCD phase diagram within the NJL model using Lagrange Multipliers
摘要:
我们开发了一种新的方法来绘制量子色动力学相图内Nambu-Jona-Lasinio模型的任意大的值的耦合常数,温度和化学势的基础上的拉格朗日乘子的策略,约束相应的间隙方程和它的质量梯度。我们的方法区分了连续和不连续的相变,因此能够单独从模型的化学参数中定位临界终点的位置,而不直接参考手性磁化率或任何其他可观察的。该方法可以直接推广到具有动量无关组分夸克质量的有效手征夸克模型。
英文摘要:
We develop a new approach for sketching the quantum chromodynamics phase-diagram within the Nambu--Jona-Lasinio model for arbitrarily large values of the coupling constant, temperature and chemical potential based upon the strategy of Lagrange multipliers that constrains the corresponding gap equation and its mass gradient. Our approach distinguishes continuous from discountinuous phase transitions and thus is capable of locating the position of the Critical End Point from the thermodynamical parameters of the model alone, without direct reference to the chiral susceptibility or any other observable. The approach can be straightforwardly extended to those effective chiral quark models with a momentum independent constituent quark mass.
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