论文标题
使用Schwinger-Dyson方程在构建近似琐碎的地图中
Use of Schwinger-Dyson equation in constructing an approximate trivializing map
论文作者
论文摘要
我们使用schwinger-dyson方程构建近似的琐碎图。该方法的优点是：（1）可以手动任意选择流核的基础。 （2）它可以应用于感兴趣的一般行动。 （3）内核中的系数取决于可观测值的晶格估计，该晶格估计不需要事先进行分析计算。我们使用Schwinger-Dyson方法获得的有效动作执行HMC，并表明我们可以比已知的$ t $扩展结构更好地控制有效的动作。但是，算法的开销仍然很大，而且增益很大，尽管在某些情况下可以观察到远程可观察物的更快的去相关性。这项贡献报告了这种尝试的初步结果。
We construct an approximate trivializing map by using a Schwinger-Dyson equation. The advantage of this method is that: (1) The basis for the flow kernel can be chosen arbitrarily by hand. (2) It can be applied to the general action of interest. (3) The coefficients in the kernel are determined by lattice estimates of the observables, which does not require analytic calculations beforehand. We perform the HMC with the effective action obtained by the Schwinger-Dyson method, and show that we can have better control of the effective action than the known $t$-expansion construction. However, the algorithmic overhead is still large and overwhelming the gain though faster decorrelation is observed for long-range observables in some cases. This contribution reports the preliminary results of this attempt.
