各种松弛时间尺度
Various Time-Scales of Relaxation
摘要:
利用规范-引力对偶,研究了强耦合规范理论中远离平衡初态的弛豫。在本文中我们考虑的系统中,所研究的状态可以通过两种方式偏离其平衡状态:各向异性压力和Δ=3的标量算子的时间依赖期望值。在引力理论中,这个系统对应于爱因斯坦的广义相对论,具有非平凡的度量,包括各向异性函数,耦合到大质量标量物质场。研究了标量场和各向异性函数的不同初始组态对热化(即事件视界的时间演化)、标量算符期望值的平衡和各向同性化等物理过程的影响。我们还讨论了这些时间尺度的时间排序。
英文摘要:
Via gauge-gravity duality, relaxation of far-from-equilibrium initial states in a strongly coupled gauge theory has been investigated. In the system we consider in this paper there are two ways where the state under study can deviate from its equilibrium: anisotropic pressure and time-dependent expectation value of a scalar operator with Δ=3. In the gravity theory, this system corresponds to Einstein's general relativity with a non-trivial metric, including the anisotropy function, coupled to a massive scalar matter field. We study the effect of different initial configurations for scalar field and anisotropy function on physical processes such as thermalization, i.e. time evolution of event horizon, equilibration of the expectation value of scalar operator and isotropization. We also discuss time ordering of these time-scales.
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