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arXiv 0912.2099hep-ph
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热态QCD临界边界热紫外截止效应的模型分析

Model analysis on thermal UV-cutoff effects on the critical boundary in hot QCD

Jiunn-Wei Chen, Kenji Fukushima, Hiroaki Kohyama, Kazuaki Ohnishi, Udit Raha

摘要:

本文研究了有限温度下QCD中手征相变在夸克质量平面上的临界边界。我们指出,从格点量子色动力学模拟和手征有效模型得到的临界边界是显着不同的,在(Polyakov环耦合)Nambu-Jona-Lasinio(NJL)模型中,我们发现,临界质量是约一个数量级的值小于在格点量子色动力学的情况下报告。在格点量子色动力学研究中,我们知道临界质量在连续极限中沿时间方向变小。为了定量地研究时间UV截止效应,我们考虑了(P)NJL模型,求和时只取有限个$N_τ$松原频率.我们证实,在这样一个UV驯服的NJL模型的临界质量变得更大的减少$N_τ$,这表明了一个正确的趋势,以解释之间的差异格点量子色动力学和手征模型的结果。

英文摘要:

We study the critical boundary on the quark-mass plane associated with the chiral phase transition in QCD at finite temperature. We point out that the critical boundaries obtained from the Lattice QCD simulation and the chiral effective model are significantly different; in the (Polyakov-loop coupled) Nambu--Jona-Lasinio (NJL) model we find that the critical mass is about one order of magnitude smaller than the value reported in the Lattice QCD case. It is known in the Lattice QCD study that the critical mass goes smaller in the continuum limit along the temporal direction. To investigate the temporal UV-cutoff effects quantitatively we consider the (P)NJL model with only finite $N_τ$ Matsubara frequencies taken in the summation. We confirm that the critical mass in such a UV-tamed NJL model becomes larger with decreasing $N_τ$, which demonstrates a correct tendency to explain the difference between the Lattice QCD and chiral model results.

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