Fermion bag approach to the sign problem in strongly coupled lattice QED with Wilson fermions
Fermion bag approach to the sign problem in strongly coupled lattice QED with Wilson fermions
复制标题
费米子袋法解决威尔逊费米子强耦合晶格 QED 中的符号问题
DOI：
10.1007/jhep01(2011)018
复制
发表时间：
2010
影响因子：
5.4
通讯作者：
Anyi Li
中科院分区：
文献类型：
--
作者：
S. Chandrasekharan;Anyi Li
本文利用费米子袋公式研究了四维强耦合格点量子电动力学中一类Wilson费米子的符号问题。我们构造规则来计算费米子袋的重量，并表明，即使费米子被限制在玻色子，费米子袋与负的重量确实存在。通过将费米子袋分类为简单或复杂，我们发现数值证据表明，具有正权重和负权重的大型复杂袋具有相等的概率。另一方面，简单的袋子有很大的概率具有正的重量。在与meron集群的方法，我们建议，消除复杂的袋子从配分函数应减轻的符号问题，同时捕捉重要的物理。我们还发现了一个修改后的模型，只包含简单的袋子，不遭受任何符号的问题，并认为它包含一个宇称破缺相变类似于原来的模型。我们还证明了当跳跃参数严格无限时，所有费米子袋是非负的。
We explore the sign problem in strongly coupled lattice QED with one flavor of Wilson fermions in four dimensions using the fermion bag formulation. We construct rules to compute the weight of a fermion bag and show that even though the fermions are confined into bosons, fermion bags with negative weights do exist. By classifying fermion bags as either simple or complex, we find numerical evidence that large complex bags with positive and negative weights come with equal probabilities. On the other hand simple bags have a large probability of having a positive weight. In analogy with the meron cluster approach, we suggest that eliminating the complex bags from the partition function should alleviate the sign problem while capturing the important physics. We also find a modified model containing only simple bags which does not suffer from any sign problem and argue that it contains a parity breaking phase transition similar to the original model. We also prove that when the hopping parameter is strictly infinite all fermion bags are non-negative.
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