当前位置: X-MOL 学术Eur. Phys. J. C › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Lefschetz thimbles and quantum phases in zero-dimensional bosonic models
The European Physical Journal C ( IF 4.4 ) Pub Date : 2020-10-07 , DOI: 10.1140/epjc/s10052-020-08493-8
R. Bharathkumar , Anosh Joseph

In this paper, by analyzing the underlyingLefschetz-thimble structure, we investigate quantum phases (or quantum critical points) in zero-dimensional scalar field theories with complex actions. Using first principles, we derive the thimble equations of these models for various values of the coupling parameters. In the thimble decomposition of complex path integrals, determination of the so-called intersection numbers appears as an important ingredient. In this paper, we obtain the analytic expressions for the combined intersection number of thimbles and anti-thimbles of these zero-dimensional theories. We also derive the conditional expressions involving relations among the coupling parameters of the model, that would help us predict quantum phase transitions in these systems. We see that the underlying thimble structure undergoes a drastic change when the system passes through such a phase transition.

A preprint version of the article is available at ArXiv.


中文翻译:

零维Bosonic模型中的Lefschetz顶针和量子相

在本文中,通过分析底层的Lefschetz-顶针结构,我们研究了具有复杂作用的零维标量场理论中的量子相(或量子临界点)。使用第一原理,我们针对各种耦合参数值推导了这些模型的顶针方程。在复杂路径积分的顶针分解中,所谓的交点数的确定似乎是重要的组成部分。在本文中,我们获得了这些零维理论的顶针和反顶针组合相交数的解析表达式。我们还推导了涉及模型耦合参数之间关系的条件表达式,这将有助于我们预测这些系统中的量子相变。

该文章的预印本可从ArXiv获得。
更新日期:2020-10-07
down
wechat
bug