Nature of the Roberge-Weiss transition in N f = 2 QCD with Wilson fermions
Nature of the Roberge-Weiss transition in N f = 2 QCD with Wilson fermions
复制标题
N f = 2 QCD 中威尔逊费米子的 Roberge-Weiss 跃迁的性质
DOI：
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发表时间：
2014
期刊：
影响因子：
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通讯作者：
A. Sciarra
中科院分区：
文献类型：
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作者：
F. Cuteri;C. Czaban;O. Philipsen;C. Pinke;A. Sciarra
在夸克化学势的虚值处，量子色动力学由于精确的中心对称性（或称Roberge-Weiss（RW）对称性）而显示出一种有趣的相结构。这可以用来限制QCD在真实的$ensuremath{mu}$，其中的符号问题，防止蒙特卡罗模拟的晶格理论。在先前对这个区域的交错费米子的研究中，发现RW端点，中心跃迁从一阶转变为交叉，非平凡地依赖于夸克质量：对于高质量和低质量，它是一个分别连接到解除禁闭和手征跃迁的三重点，对于中间质量值，它变成二阶端点。这些参数区域由三临界点分开。在这里，我们提出了一个确认这些发现使用威尔逊费米子上${N}_{ensurmath { Au}}=4个晶格。此外，我们的结果提供了一个成功的定量检查的重夸克有效晶格理论在有限密度。
At imaginary values of the quark chemical potential $ensuremath{mu}$, quantum chromodynamics shows an interesting phase structure due to an exact center, or Roberge-Weiss (RW), symmetry. This can be used to constrain QCD at real $ensuremath{mu}$, where the sign problem prevents Monte Carlo simulations of the lattice theory. In previous studies of this region with staggered fermions it was found that the RW endpoint, where the center transition changes from first order to a crossover, depends nontrivially on the quark mass: for high and low masses, it is a triple point connecting to the deconfinement and chiral transitions, respectively, changing to a second-order endpoint for intermediate mass values. These parameter regions are separated by tricritical points. Here we present a confirmation of these findings using Wilson fermions on ${N}_{ensuremath{ au}}=4$ lattices. In addition, our results provide a successful quantitative check for a heavy quark effective lattice theory at finite density.