Finite density phase transition of QCD with N-f=4 and N-f=2 using canonical ensemble method
Finite density phase transition of QCD with N-f=4 and N-f=2 using canonical ensemble method
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使用正则系综方法计算 N-f=4 和 N-f=2 的 QCD 有限密度相变
DOI：
10.1103/physrevd.82.054502
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发表时间：
2010
影响因子：
5
通讯作者：
Xiangfei Meng
中科院分区：
文献类型：
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作者：
Anyi Li;A. Alexandru;Keh;Xiangfei Meng
在寻找QCD临界点的过程中，我们用正则系综方法研究了N{f}=4和2晶格QCD在有限温度下的有限密度相变。我们提出了一种圈数展开法，从费米子行列式中精确地投影出粒子数，这大大扩展了重子数扇区的适用范围，使研究变得可行。我们的晶格模拟是用三叶草费米子和改进的规范作用进行的。对于给定的温度，我们用正则方法计算重子化学势，以寻找混合相作为一阶相变的信号。在N{f}=4的情况下，由于混合相在有限体积内的表面张力，我们观察到化学势密度平面呈“s形”结构，这是一级相变的信号。我们使用麦克斯韦构造来确定T{下标c}以下三种温度下的相边界。两个外推边界的交点是在期望的一阶过渡点T{下标c}， {mu}=0。这是对我们确定临界点的方法的检验。我们还研究了更多»N{sub f}=2的情况，但没有看到温度低至0.83T{sub c}的混合相信号。«少
In a progress toward searching for the QCD critical point, we study the finite density phase transition of N{sub f}=4 and 2 lattice QCD at finite temperature with the canonical ensemble approach. We develop a winding number expansion method to accurately project out the particle number from the fermion determinant which greatly extends the applicable range of baryon number sectors to make the study feasible. Our lattice simulation was carried out with the clover fermions and improved gauge action. For a given temperature, we calculate the baryon-chemical potential from the canonical approach to look for the mixed phase as a signal for the first-order phase transition. In the case of N{sub f}=4, we observe an 'S-shape' structure in the chemical potential-density plane due to the surface tension of the mixed phase in a finite volume which is a signal for the first-order phase transition. We use the Maxwell construction to determine the phase boundaries for three temperatures below T{sub c}. The intersecting point of the two extrapolated boundaries turns out to be at the expected first-order transition point at T{sub c} with {mu}=0. This serves as a check for our method of identifying the critical point. We also studied the more » N{sub f}=2 case, but do not see a signal of the mixed phase for temperature as low as 0.83T{sub c}. « less
DOI：
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发表时间：
1997
期刊：
--
影响因子：
--
作者：
S. Aoki;G. Boyd;R. Burkhalter;S. Hashimoto;N. Ishizuka;Y. Iwasaki;K. Kanaya;T. Kaneko;Y. Kuramashi;M. Okawa;A. Ukawa
通讯作者：
S. Aoki;G. Boyd;R. Burkhalter;S. Hashimoto;N. Ishizuka;Y. Iwasaki;K. Kanaya;T. Kaneko;Y. Kuramashi;M. Okawa;A. Ukawa