Two-flavor lattice QCD with a finite density of heavy quarks: heavy-dense limit and “particle-hole” symmetry
Two-flavor lattice QCD with a finite density of heavy quarks: heavy-dense limit and “particle-hole” symmetry
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具有有限重夸克密度的双味晶格QCD：重密度极限和“粒子空穴”对称性
DOI：
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发表时间：
2015
期刊：
影响因子：
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通讯作者：
P. Forcrand
中科院分区：
文献类型：
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作者：
T. Rindlisbacher;P. Forcrand
本文研究了格点QCD中半填充点的性质，特别是符号问题的消失和明显的粒子-空穴对称性的出现，并试图通过研究重密费米子行列式和相应的强耦合配分函数（可以解析积分）来理解这些性质的来源。然后，我们在第一步中添加一个有效的Polyakov圈规范作用量（它再现了Wilson规范作用量的特征展开中的主导项）到重稠密配分函数中，并试图分析当离开强耦合极限时，半填充点的某些性质如何变化。在第二步中，我们还考虑了主要的最近邻费米子跳跃项（包括基本表象中的规范相互作用），并提到如何进一步改进该方法以纳入完整的最近邻费米子跳跃。利用我们的平均场方法，我们还得到了有限逆规范耦合β下重稠密LQCD的近似（μ，T）相图。最后，我们提出了一个简单的标准，以确定化学势超过晶格文物成为主导。
A bstractWe investigate the properties of the half-filling point in lattice QCD (LQCD), in particular the disappearance of the sign problem and the emergence of an apparent particle-hole symmetry, and try to understand where these properties come from by studying the heavy-dense fermion determinant and the corresponding strong-coupling partition function (which can be integrated analytically). We then add in a first step an effective Polyakov loop gauge action (which reproduces the leading terms in the character expansion of the Wilson gauge action) to the heavy-dense partition function and try to analyze how some of the properties of the half-filling point change when leaving the strong coupling limit. In a second step, we take also the leading nearest-neighbor fermion hopping terms into account (including gauge interactions in the fundamental representation) and mention how the method could be improved further to incorporate the full set of nearest-neighbor fermion hoppings. Using our mean-field method, we also obtain an approximate (μ, T) phase diagram for heavy-dense LQCD at finite inverse gauge coupling β. Finally, we propose a simple criterion to identify the chemical potential beyond which lattice artifacts become dominant.