论文标题

LightCone和ANEC饱和度附近的自由

Freedom near Lightcone and ANEC Saturation

论文作者

Huang, Kuo-Wei, Karlsson, Robin, Parnachev, Andrei, Valach, Samuel

论文摘要

平均的无效条件(ANEC)在统一量子场理论中持有。在共形场理论中,通过将应力张量应用于真空而产生的状态中的弧度会导致应力调节三分耦合的三个约束,这取决于极化的选择。同样的限制是考虑到在热状态下应力张量的两点函数,并着重于应力张量在操作员产品扩展(OPE)中的贡献。人们可以在全息高斯 - 骨网络重力中观察到这一点,其中ANEC饱和与热状态下的超闪光信号传播相吻合。我们表明,当发生这种情况时,对于具有最小扭曲的高自旋多压力量量操作员的ANEC的相应概括也饱和,并且从此类操作员到热两个点函数的所有贡献都消失在LightCone极限上。这导致热应力张量相关器的特殊近光酮行为 - 它们采用无关温度的真空形式。

Averaged Null Energy Conditions (ANECs) hold in unitary quantum field theories. In conformal field theories, ANECs in states created by the application of the stress tensor to the vacuum lead to three constraints on the stress-tensor three-point couplings, depending on the choice of polarization. The same constraints follow from considering two-point functions of the stress tensor in a thermal state and focusing on the contribution of the stress tensor in the operator product expansion (OPE). One can observe this in holographic Gauss-Bonnet gravity, where ANEC saturation coincides with the appearance of superluminal signal propagation in thermal states. We show that, when this happens, the corresponding generalizations of ANECs for higher-spin multi-stress tensor operators with minimal twist are saturated as well and all contributions from such operators to the thermal two-point functions vanish in the lightcone limit. This leads to a special near-lightcone behavior of the thermal stress-tensor correlators -- they take the vacuum form, independent of temperature.

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