Entanglement in four-dimensional SU(3) gauge theory

Entanglement in four-dimensional SU(3) gauge theory
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四维 SU(3) 规范理论中的纠缠

DOI:
10.1093/ptep/ptw050
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发表时间:
2016
影响因子:
3.5
通讯作者:
Zakharov V. I.
Zakharov V. I.
中科院分区:
物理与天体物理4区
文献类型:
--
作者:
Itou Etsuko;Nagata Keitaro;Nakagawa Yoshiyuki;Nakamura Atsushi;Zakharov V. I.

文献摘要

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研究了四维欧几里得SU(3)规范理论的量子纠缠熵。本文首次用复制方法对晶格蒙特卡罗模拟中SU(3)规范理论的熵函数()进行了非摄动计算。其中,子空间的长度,熵函数几乎是恒定的,表示共形不变动力学。该常数的值与由自由胶子摄动得到的值一致,相差20%。当接近尺度时,熵函数平滑减小,在误差条内与零保持一致。
We investigate the quantum entanglement entropy for the four-dimensional Euclidean SU(3) gauge theory. We present the first non-perturbative calculation of the entropic-function () of SU(3) gauge theory in lattice Monte Carlo simulation using the replica method. Forfm, whereis the length of the subspace, the entropic-function is almost constant, indicating conformally invariant dynamics. The value of the constant agrees with that perturbatively obtained from free gluons, with 20% discrepancy. Whenis close to thescale, the entropic-function decreases smoothly, and it is consistent with zero within error bars atfm.