Dynamics and thermodynamics of a non-local PNJL model with running coupling
Dynamics and thermodynamics of a non-local PNJL model with running coupling
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发表时间：
2008-10
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通讯作者：
T. Hell;S. Roessner;M. Cristoforetti;W. Weise
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作者：
T. Hell;S. Roessner;M. Cristoforetti;W. Weise
构造了一个非定域协变扩展的双味Nambu和Jona-Lasinio（NJL）模型，该模型具有高动量QCD和低动量瞬子物理运行耦合的内建约束.手征低能定理和基本的电流代数关系，涉及π介子的性质被证明是重现。由此方法得到的动量相关的夸克动力学质量与Dyson-Schwinger方程和格点QCD的结果一致。在有限温度下，包含Polyakov圈及其与夸克的规范不变耦合，再现了手征和去禁闭交叉跃迁的动力学纠缠，就像（局域）PNJL模型一样，但现在不需要引入人工动量截止。超越平均场近似的步骤，包括介子相关通过夸克-反夸克环求和。各种感兴趣的量（压力、能量密度、声速等）与零化学势下的格点QCD热力学进行了比较和讨论。讨论了有限夸克化学势的推广和（T，μ）平面上的相图。
A non-local covariant extension of the two-flavor Nambu and Jona-Lasinio (NJL) model is constructed, with built-in constraints from the running coupling of QCD at high-momentum and instanton physics at low-momentum scales. Chiral low-energy theorems and basic current algebra relations involving pion properties are shown to be reproduced. The momentum-dependent dynamical quark mass derived from this approach is in agreement with results from Dyson-Schwinger equations and lattice QCD. At finite temperature, inclusion of the Polyakov loop and its gauge invariant coupling to quarks reproduces the dynamical entangle-ment of the chiral and deconfinement crossover transitions as in the (local) PNJL model, but now without the requirement of introducing an artificial momentum cutoff. Steps beyond the mean-field approximation are made including mesonic correlations through quark-antiquark ring summations. Various quantities of interest (pressure, energy density, speed of sound etc.) are calculated and discussed in comparison with lattice QCD thermodynamics at zero chemical potential. The extension to finite quark chemical potential and the phase diagram in the (T, µ)-plane are also discussed.