We show how the sphaleron rate (the Minkowski rate for topological charge diffusion) can be determined by analytical continuation of the Euclidean topological-charge-density two-point function, which we investigate on the lattice, using gradient flow to reduce noise and provide improved operators which more accurately measure topology. We measure the correlators on large, fine lattices in the quenched approximation at $1.5T_c$ with high precision. Based on these data we first perform a continuum extrapolation at fixed physical flow time and then extrapolate the continuum estimates to zero flow time. The extrapolated correlators are then used to study the sphaleron rate by spectral reconstruction based on perturbatively motivated models.

中文翻译：

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来自欧几里德晶格相关器的 Sphaleron 率：探索

我们展示了如何通过欧几里得拓扑电荷密度两点函数的解析延拓来确定闪锌矿速率（拓扑电荷扩散的闵可夫斯基速率），我们在晶格上研究该函数，使用梯度流来降低噪声并提供改进的更准确地测量拓扑的算子。我们在淬火近似中测量大而精细的晶格上的相关器$1.5{吨}_C$高精度。基于这些数据，我们首先在固定的物理流量时间执行连续统外推，然后将连续统估计外推到零流量时间。然后使用外推的相关器通过基于微扰激励模型的光谱重建来研究刃口速率。