Finite-volume effects on phase transition in the Polyakov-loop extended Nambu-Jona-Lasinio model with a chiral chemical potential

Finite-volume effects on phase transition in the Polyakov-loop extended Nambu-Jona-Lasinio model with a chiral chemical potential
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具有手性化学势的 Polyakov 环扩展 Nambu-Jona-Lasinio 模型中相变的有限体积效应

DOI:
10.1142/s0217751x17500671
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发表时间:
2017
影响因子:
1.6
通讯作者:
Zong Hong-Shi
Zong Hong-Shi
中科院分区:
物理与天体物理4区
文献类型:
--
作者:
Pan Zan;Cui Zhu-Fang;Chang Chao-Hsi;Zong Hong-Shi

文献摘要

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为了研究具有双夸克性质的量子色动力学(QCD)系统的手征对称性恢复和退禁闭跃迁的有限体积效应,我们通过人工引入手征化学势,应用Polyakov环扩展的Nambu-Jona-Lasinio模型。最后的数值结果表明,引入的手性化学势没有改变临界指数,但显著地移动了临界终点(CEP)的位置;手性化学势与CEP处的温度之比显著地受系统尺寸的影响。这种行为是在“大”的时候缓慢增加,在“小”的时候先减少,然后增加。我们还发现,对于固定的相图,存在一个,当临界终点消失时,整个相图变成一个交叉点。因此,我们建议在重离子碰撞实验中,即研究CEP的可能位置时,应考虑有限体积行为。
To investigate the finite-volume effects on the chiral symmetry restoration and the deconfinement transition for a quantum chromodynamics (QCD) system with(two quark flavors), we apply the Polyakov-loop extended Nambu–Jona-Lasinio model by introducing a chiral chemical potentialartificially. The final numerical results indicate that the introduced chiral chemical potential does not change the critical exponents, but shifts the location of critical end point (CEP) significantly; the ratios for the chiral chemical potentials and temperatures at CEP,and, are significantly affected by the system size. The behavior is thatincreases slowly withwhenis “large” anddecreases first and then increases withwhenis “small.” It is also found that for a fixed, there is a, where the critical end point vanishes and the whole phase diagram becomes a crossover when. Therefore, we suggest that for the heavy-ion collision experiments, which is to study the possible location of CEP, the finite-volume behavior should be taken into account.