论文标题
SU（3）具有串联扩展技术化学潜力的自旋模型
The SU(3) spin model with chemical potential by series expansion techniques
论文作者
论文摘要
具有化学势的$ SU（3）$旋转模型对应于强耦合方案中具有静态夸克的简化版本。它先前已被研究为旨在克服晶格QCD的标志问题的新方法的测试基础。在这项工作中，我们表明，可以通过链接的群集扩展来确定状态方程和模型的相结构以合理的精度。特别是，我们将自由能计算为最近的邻居耦合中的第14阶。对状态方程和关键终点位置的结果预测与$ {\ cal o}（1 \％）$和$ {\ cal o}（10 \％）$的数值确定一致。虽然关键耦合的准确性在当前系列深度仍然受到限制，但该方法同样适用于零和非零假想或真实的化学潜力，以及通过强耦合和跳扩张获得的有效QCD Hamiltonians。
The $SU(3)$ spin model with chemical potential corresponds to a simplified version of QCD with static quarks in the strong coupling regime. It has been studied previously as a testing ground for new methods aiming to overcome the sign problem of lattice QCD. In this work we show that the equation of state and the phase structure of the model can be determined to reasonable accuracy by a linked cluster expansion. In particular, we compute the free energy to 14-th order in the nearest neighbour coupling. The resulting predictions for the equation of state and the location of the critical end point agree with numerical determinations to ${\cal O}(1\%)$ and ${\cal O}(10\%)$, respectively. While the accuracy for the critical couplings is still limited at the current series depth, the approach is equally applicable at zero and non-zero imaginary or real chemical potential, as well as to effective QCD Hamiltonians obtained by strong coupling and hopping expansions.
