arXiv 1103.30452011-03hep-phhep-latnucl-exnucl-th

正则系综中$N_f = 3$ QCD的临界点

Critical point of $N_f = 3$ QCD from lattice simulations in the canonical ensemble

Anyi Li, Andrei Alexandru, Keh-Fei Liu

备注：: 5 pages, 7 figures, references added, published version
发表信息：: Phys.Rev. D84 (2011) 071503
DOI：: 10.1103/PhysRevD.84.071503

摘要：

采用正则系综方法，利用格点模拟研究了$N_f = 3$ QCD的相图。我们使用费米子行列式的精确傅里叶变换锁定所需的夸克数扇区。我们扫描相空间下面的$T_c$和寻找一个S形结构的化学势，这标志着共存相的一级相变在有限的体积。应用麦克斯韦结构，我们确定了在三个温度下共存相的边界，并将它们外推到临界点。利用改进的规范作用量和改进的Wilson费米子，在空间范围为$1.8 \fm$，夸克质量接近奇异夸克质量的格点上，我们找到了在$T_E = 0.925(5) T_c$和重子化学势$μ_B^E = 2.60(8) T_c$处的临界点.

英文摘要：

A canonical ensemble algorithm is employed to study the phase diagram of $N_f = 3$ QCD using lattice simulations. We lock in the desired quark number sector using an exact Fourier transform of the fermion determinant. We scan the phase space below $T_c$ and look for an S-shape structure in the chemical potential, which signals the coexistence phase of a first order phase transition in finite volume. Applying Maxwell construction, we determine the boundaries of the coexistence phase at three temperatures and extrapolate them to locate the critical point. Using an improved gauge action and improved Wilson fermions on lattices with a spatial extent of $1.8 \fm$ and quark masses close to that of the strange, we find the critical point at $T_E = 0.925(5) T_c$ and baryon chemical potential $μ_B^E = 2.60(8) T_c$.

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