An efficient method to compute the residual phase on a Lefschetz thimble
An efficient method to compute the residual phase on a Lefschetz thimble
复制标题
计算 Lefschetz 顶针残余相位的有效方法
DOI：
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发表时间：
2014
期刊：
影响因子：
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通讯作者：
C. Torrero
中科院分区：
文献类型：
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作者：
M. Cristoforetti;F. Renzo;G. Eruzzi;A. Mukherjee;Christian Schmidt;L. Scorzato;C. Torrero
我们提出了一种有效的方法来计算所谓的剩余相位时出现的Lefschetz顶针进行蒙特卡罗计算。该方法是随机的，其成本与物理体积线性相关，与随机估计量的数量线性相关，与额外维度的长度二次相关，沿着梯度流。这是对计算剩余相位的成本的先前估计的显著改进。我们还报告了代码正确性和可扩展性的基本测试。
We propose an efficient method to compute the so-called residual phase that appears when performing Monte Carlo calculations on a Lefschetz thimble. The method is stochastic and its cost scales linearly with the physical volume, linearly with the number of stochastic estimators and quadratically with the length of the extra dimension along the gradient flow. This is a drastic improvement over previous estimates of the cost of computing the residual phase. We also report on basic tests of correctness and scaling of the code.