论文标题
全息相关器的钢管滑动:规格对称性和概括的各个方面
Pole-skipping of Holographic Correlators: Aspects of Gauge Symmetry and Generalizations
论文作者
论文摘要
在反DE保姆空间/保形场理论(ADS/CFT)的框架中,我们研究了边界操作员全息相关器的杆子铲球现象。我们通过$ U(1)$ -U(1)$ -U的模型在渐近广告中大部分有限温度传播的模型来探索杆子鞋底点的位置。通常,在不同的情况下,所有一阶点位于Matsubara频率上,相应的波向量正常分散在动量空间中。具体而言,在具有$ u(1)$对称性的无质量情况下,杆子鞋底的波向量具有数字依赖性,并且在与电磁二元性相应的双场中发现了二元磁场的跨模式当量。在具有显式对称性破坏的大规模情况下,我们发现非零质量的外观会产生额外的杆子脱落点,从而降低了无质量的质量极限。我们期望混乱系统中独特的物理学的这种钢管脱水的含义。我们的近摩尼子计算通过双轨道方法进行了验证,尤其是在有尺寸依赖性边界差异的示例的示例中。在这些情况下,我们说明全息相关因子的杆子脱刀特性由IR物理学决定,这与以前的研究中的普通病例一致。
In the framework of anti-de Sitter space/conformal field theory (AdS/CFT), we study the pole-skipping phenomenon of the holographic correlators of boundary operators. We explore the locations of the pole-skipping points case by case with the models of $U(1)$-gauged form fields propagating in the asymptotic AdS bulk of finite temperature. In general, in different cases all the first-order points are located at the Matsubara frequency with corresponding wave vectors regularly dispersed in the momentum space. Specifically, in the massless cases with $U(1)$ symmetry, the wave vectors of the pole-skipping points have a form-number dependence, and a trans-mode equivalence in the dual fields is found in correspondence with electromagnetic duality. In the massive cases with explicit symmetry breaking, we find that the appearance of a non-zero mass yields extra pole-skipping points which reduce to the massless results in zero mass limit. We expect in such kind of pole-skipping properties implications of distinctive physics in the chaotic systems. Our near-horizon computation is verified with the double-trace method especially in the example of 2-form where there is dimension-dependent boundary divergence. We illustrate in these cases that the pole-skipping properties of the holographic correlators are determined by the IR physics, consistent with the ordinary cases in previous studies.