论文标题
临界点附近的纯化全息纠缠
Holographic Entanglement of Purification near a Critical Point
论文作者
论文摘要
在存在有限的化学势$μ$的情况下,我们全息在$ 2+1 $ - 和$ 3+1 $维场理论中计算纯化的纠缠,也以$ 3+1 $ - 维度的字段理论为重要点。我们观察到,相比之下,$ 2+1 $ - 和$ 3+1 $ - 维领域理论,近距离关键点附近纯化的纠缠行为是不同的,并且不是$ \fracμ{t} $的单调函数,其中$ t $是$ \fracμ{t},其中$ t $是现场理论的温度。因此,纯化的纠缠区分了现场理论的临界点。我们还讨论了纯化全息纠缠对理论各种参数的依赖性。此外,计算关键指数。
In the presence of finite chemical potential $μ$, we holographically compute the entanglement of purification in a $2+1$- and $3+1$-dimensional field theory and also in a $3+1$-dimensional field theory with a critical point. We observe that compared to $2+1$- and $3+1$-dimensional field theories, the behavior of entanglement of purification near critical point is different and it is not a monotonic function of $\fracμ{T}$ where $T$ is the temperature of the field theory. Therefore, the entanglement of purification distinguishes the critical point in the field theory. We also discuss the dependence of the holographic entanglement of purification on the various parameters of the theories. Moreover, the critical exponent is calculated.