arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1601.00136hep-th
收藏

非相对论膜的全息热化

Holographic thermalization from non relativistic branes

Dibakar Roychowdhury

备注：
Revised version, To appear in Physical Review D (PRD)
发表信息：
Phys. Rev. D 93, 106008 (2016)
阅读 PDF
arXiv 页面 ↗HTML 原文 ↗

摘要：

本文基于规范/引力对偶的基本原理，考虑一个\textit{global quench}，通过计算等离子体的纠缠熵，探讨了一类特殊的强耦合非相对论QFT的热化物理.这种QFT的等距群由薛定谔代数的生成元组成，而薛定谔代数可以精确地实现为渐近薛定谔$ Dp $膜时空的杀死生成元的等距群。在我们的分析中，我们注意到，在热平衡的前局域阶段的纠缠熵有一个更快的增长时间相比，它的相对论表亲。然而，它表现出线性增长在后局部阶段的热平衡，与纠缠熵的线性增长相关的所谓的海啸速度饱和，其值对应于相对论的情况。最后，我们探讨了饱和区域，结果表明，必须以特定的方式约束理论的某些参数，以便在饱和点处具有不连续的过渡。

英文摘要：

In this paper, based on the fundamental principles of Gauge/gravity duality and considering a \textit{global quench}, we probe the physics of thermalization for a special class of strongly coupled non relativistic QFTs by computing the entanglement entropy of the plasma. The isometry group of such QFTs is comprised of the generators of the Schrödinger algebra which could be precisely realized as an isometry group of the killing generators of an asymptotically Schrödinger $ Dp $ brane space time. In our analysis, we note that during the pre local stages of the thermal equilibrium the entanglement entropy has a faster growth in time compared to its relativistic cousin. However, it shows a linear growth during the post local stages of thermal equilibrium where the so called tsunami velocity associated with the linear growth of the entanglement entropy saturates to that of its value corresponding to the relativistic scenario. Finally, we explore the saturation region and it turns out that one must constraint certain parameters of the theory in a specific way in order to have a discontinuous transitions at the point of saturation.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

↑