Entanglement entropy in scalar field theory
Entanglement entropy in scalar field theory
复制标题
标量场理论中的纠缠熵
DOI：
10.1088/1751-8113/46/1/015402
复制
发表时间：
2012
期刊：
影响因子：
--
通讯作者：
M. Hertzberg
中科院分区：
文献类型：
--
作者：
M. Hertzberg
了解量子场论中纠缠熵对重整化质量的依赖性可以提供对量子相变等现象的深入了解，因为质量在相变附近以单一方式变化。在这里，我们扰动计算相互作用标量场理论中的纠缠熵，重点关注对场质量的依赖性。我们研究基态下的 λψ4 和 gψ3 理论。通过追踪半个空间，使用圆锥上的复制技巧和位置空间格林函数，我们表明时空体积散度可以消除，并且可以在该圆锥几何中一致地执行重整化。我们建立了对二环阶纠缠熵的有限贡献，涉及有限面积定律。由此产生的熵简单直观：自由理论结果 d = 3（我们将其包含在之前的出版物中）ΔS ∼ A m2ln (m2) 通过用在零动量重整化尺度上评估的重整化质量 mr 替换裸质量 m 来更改为前导顺序。
Understanding the dependence of entanglement entropy on the renormalized mass in quantum field theories can provide insight into phenomena such as quantum phase transitions, since the mass varies in a singular way near the transition. Here we perturbatively calculate the entanglement entropy in interacting scalar field theory, focusing on the dependence on the field’s mass. We study λϕ4 and gϕ3 theories in their ground state. By tracing over a half space, using the replica trick and position space Green’s functions on the cone, we show that spacetime volume divergences cancel and renormalization can be consistently performed in this conical geometry. We establish finite contributions to the entanglement entropy up to two-loop order, involving a finite area law. The resulting entropy is simple and intuitive: the free theory result in d = 3 (that we included in an earlier publication) ΔS ∼ A m2ln (m2) is altered, to leading order, by replacing the bare mass m by the renormalized mass mr evaluated at the renormalization scale of zero momentum.
DOI：
10.1088/1751-8113/42/50/504008
发表时间：
2009-05
期刊：
Journal of Physics A: Mathematical and Theoretical
影响因子：
--
作者：
T. Nishioka;S. Ryu;T. Takayanagi
通讯作者：
T. Nishioka;S. Ryu;T. Takayanagi
影响因子：
5.4
作者：
Ryu, Shinsei;Takayanagi, Tadashi
通讯作者：
Takayanagi, Tadashi