论文标题

威尔逊有效行动的动量空间纠缠

Momentum Space Entanglement from the Wilsonian Effective Action

论文作者

Costa, Matheus H. Martins, Brink, Jeroen van den, Nogueira, Flavio S., Krein, Gastão

论文摘要

量子场理论在不同尺度上的动量模式之间的纠缠不如其在真实空间中的对应物,尽管与威尔逊主义的观念是自然的联系,即融合了高摩孔自由度。在这里,我们通过开发一种新的方法来进一步推动这种联系,以计算慢速和快速模式之间的rényi和纠缠熵,该模式基于给定规模的Wilsonian有效动作。此过程应用于某些标量理论的扰动制度,将最低阶的结果与文献的结果进行比较,并用Feynman图表来解释它们。该方法很容易被推广到高阶或非扰动计算。它具有避免其他技术的矩阵对角线化的优势。

The entanglement between momentum modes of a quantum field theory at different scales is not as well studied as its counterpart in real space, despite the natural connection with the Wilsonian idea of integrating out the high-momentum degrees of freedom. Here, we push such connection further by developing a novel method to calculate the Rényi and entanglement entropies between slow and fast modes, which is based on the Wilsonian effective action at a given scale. This procedure is applied to the perturbative regime of some scalar theories, comparing the lowest-order results with those from the literature and interpreting them in terms of Feynman diagrams. This method is easily generalized to higher-order or nonperturbative calculations. It has the advantage of avoiding matrix diagonalizations of other techniques.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源