The density of states approach for the simulation of finite density quantum field theories
The density of states approach for the simulation of finite density quantum field theories
复制标题
用于模拟有限密度量子场论的态密度方法
DOI：
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发表时间：
2015
期刊：
影响因子：
--
通讯作者：
L. Bongiovanni
中科院分区：
文献类型：
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作者：
K. Langfeld;B. Lucini;A. Rago;R. Pellegrini;L. Bongiovanni
有限密度量子场论由于著名的符号问题而回避了第一性原理蒙特-卡罗模拟。这种理论的配分函数表现为广义态密度的傅里叶变换，它是作用量虚部的概率分布。随着Wang-Landau型模拟技术的出现和最新进展[1]，态密度可以计算数百个数量级。目前的研究解决的问题是否达到精度足够高，可靠地提取有限密度配分函数，这是指数抑制的体积。在我的演讲中，我回顾了高精度计算态密度的现状，以及从高振荡积分中获得可靠结果的最新进展。我将回顾Z3量子场论的最新进展，其结果可以从对偶理论的模拟中获得，这似乎是免费的符号问题。
Finite density quantum field theories have evaded first principle Monte-Carlo simulations due to the notorious sign-problem. The partition function of such theories appears as the Fourier transform of the generalised density-of-states, which is the probability distribution of the imaginary part of the action. With the advent of Wang-Landau type simulation techniques and recent advances [1], the density-of-states can be calculated over many hundreds of orders of magnitude. Current research addresses the question whether the achieved precision is high enough to reliably extract the finite density partition function, which is exponentially suppressed with the volume. In my talk, I review the state-of-play for the high precision calculations of the density-of-states as well as the recent progress for obtaining reliable results from highly oscillating integrals. I will review recent progress for the Z3 quantum field theory for which results can be obtained from the simulation of the dual theory, which appears to free of a sign problem.
随机量化可以避免符号问题吗？
影响因子：
8.6
作者：
Aarts G
通讯作者：
Aarts G
影响因子：
5
作者：
G. Aarts;E. Seiler;I. Stamatescu
通讯作者：
G. Aarts;E. Seiler;I. Stamatescu