Lattice Study of QCD Phase Structure by Canonical Approach
Lattice Study of QCD Phase Structure by Canonical Approach
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DOI：
10.1051/epjconf/201817507033
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发表时间：
2017-04
期刊：
影响因子：
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通讯作者：
D. Boyda;V. Bornyakov;V. Goy;A. Molochkov;A. Nakamura;A. Nikolaev;V. Zakharov
中科院分区：
文献类型：
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作者：
D. Boyda;V. Bornyakov;V. Goy;A. Molochkov;A. Nakamura;A. Nikolaev;V. Zakharov
我们研究了使用规范系综方法来确定温度-密度平面中的 QCD 相图的潜力。这种方法使我们能够研究有限重子密度区域，其中众所周知的符号问题阻碍了标准晶格 QCD 数值研究。使用正则系综方法，我们在纯虚夸克化学势下进行晶格 QCD 模拟。在这种情况下不会出现符号问题。然后，我们通过正则配分函数计算真实化学势下的物理量。在这种方法中，规范配分函数 $Z_n$ 在将信息从纯虚化学势值映射到真实化学势值方面发挥着重要作用。我们分析了在虚化学势下获得的数值数据的不准确性如何影响真实值的结果，其中 QCD 预测与实验夸克胶子等离子体 (QGP) 数据相对应。我们计算重子数的高矩，包括峰度，并将我们的结果与相对论性重离子碰撞的信息进行比较。
We investigate the potential for using the canonical ensemble approach to determine the QCD phase diagram in the temperature - density plane. This approach allows us to study the finite baryon density regions where the well-known sign problem obstructs the standard lattice QCD numerical study. Using the canonical ensemble approach, we perform lattice QCD simulations at the pure imaginary quark chemical potential. In this case no sign problem occurs. We then calculate physical quantities at the real chemical potential through the canonical partition functions. In this approach, the canonical partition functions, $Z_n$, play an essential role for mapping the information from the pure imaginary chemical potential values to the real ones. We analyze how inaccuracies in the numerical data obtained at the imaginary chemical potential affect the results for the real values, where the QCD predictions confront experimental quark-gluon plasma (QGP) data. We compute the higher moments of the baryon number including the kurtosis and compare our results with information from relativistic heavy-ion collisions.