符号优化流形上的蒙特卡罗密度计算
Finite-Density Monte Carlo Calculations on Sign-Optimized Manifolds
摘要：
我们提出了一个通用的技术来解决出现在场论的蒙特卡罗模拟的符号问题。该方法将路径积分的域变形为复域空间中的流形，该流形在参数化流形族内最大化平均符号（因此减少符号问题）。我们提出的$1+1$维Thirring模型与威尔逊费米子的晶格尺寸高达$40\times 10$的结果。该方法达到了比先前技术更高的$μ$，同时大大减少了所需的计算时间。
英文摘要：
We present a general technique for addressing sign problems that arise in Monte Carlo simulations of field theories. This method deforms the domain of the path integral to a manifold in complex field space that maximizes the average sign (therefore reducing the sign problem) within a parameterized family of manifolds. We presents results for the $1+1$ dimensional Thirring model with Wilson fermions on lattice sizes up to $40\times 10$. This method reaches higher $μ$ then previous techniques while substantially decreasing the computational time required.
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