论文标题

全息照相机:散装的眼睛

Holographic cameras: an eye for the bulk

论文作者

Caron-Huot, Simon

论文摘要

我们考虑在野外理论激发量子状态下的四点相关器。我们表明,当理论和状态是全息图时,明智地应用的傅立叶变换会产生点状散装颗粒的高质量图像,从而揭示了它们移动的几何形状。对于翻译不变的状态,批量爱因斯坦的方程等于相关数据的局部微分方程。在不是全息图的理论或状态中,图像太模糊了,无法提取散装几何形状。我们通过调整共形regge理论的公式来验证各种耦合和3D ISING模型的量学理论。

We consider four-point correlators in an excited quantum state of a field theory. We show that, when the theory and state are holographic, a judiciously applied Fourier transform produces high-quality images of point-like bulk particles, revealing the geometry in which they move. For translation-invariant states, the bulk Einstein's equations amount to local differential equations on correlator data. In theories or states that are not holographic, images are too blurry to extract a bulk geometry. We verify this for gauge theories at various couplings and the 3D Ising model by adapting formulas from conformal Regge theory.

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