论文标题
从单相和杆子的运输界限
Bounds on transport from univalence and pole-skipping
论文作者
论文摘要
运输的界限代表了一种理解量子和经典动态的允许制度的方式。已经提出了许多这样的界限，要么是针对所有理论的理论类别，要么（通过一般参数）。很少有精确和不可侵犯。我提出了一组新的方法和足够的条件，以在所有流体动力分散关系的系数（包括扩散率和声音速度）上得出精确，严格且尖锐的界限。这些一般技术结合了流体动力学的分析特性和单价（复杂的霍明态和外观）功能的理论。特别关注的是将运输与量子混乱有关的边界，这可以通过具有全息双重双重的理论中的杆子来确定。显示了此类边界的示例，以及可以证明所涉及条件的有效性的全息理论。我还讨论了无相关方法到边界的潜在应用，而与混乱无关，例如，在声音速度上的保形结合。
Bounds on transport represent a way of understanding allowable regimes of quantum and classical dynamics. Numerous such bounds have been proposed, either for classes of theories or (by using general arguments) universally for all theories. Few are exact and inviolable. I present a new set of methods and sufficient conditions for deriving exact, rigorous, and sharp bounds on all coefficients of hydrodynamic dispersion relations, including diffusivity and the speed of sound. These general techniques combine analytic properties of hydrodynamics and the theory of univalent (complex holomorphic and injective) functions. Particular attention is devoted to bounds relating transport to quantum chaos, which can be established through pole-skipping in theories with holographic duals. Examples of such bounds are shown along with holographic theories that can demonstrate the validity of the conditions involved. I also discuss potential applications of univalence methods to bounds without relation to chaos, such as for example the conformal bound on the speed of sound.
