论文标题

由于功能度量,ADS/CFT和量子重力校正中的传输系数

Transport coefficients in AdS/CFT and quantum gravity corrections due to a functional measure

论文作者

Kuntz, Iberê, da Rocha, Roldao

论文摘要

在双仪/重力对应关系的两侧都对功能度量的存在进行了审查。使用线性响应程序获得相对论流体动力学中传输系数的校正。特别是,对于Minkowski背景度量,使用一阶流体动力学,证明剪切粘度,熵密度,扩散常数和声速不从重力度量中获取任何校正。另一方面,即使对于平面背景,也证明了能量密度,压力,放松时间,稳定粘度,衰减速率以及共形无纹状张量张力场的衰减速率以及共形无纹状张量张量场的系数。他们都获得了一个虚构的部分,该部分反映了边界CFT上强耦合流体的不稳定性。这打开了使用夸克 - 胶原等离子体测试量子重力的可能性。

The presence of a functional measure is scrutinized on both sides of the dual gauge/gravity correspondence. Corrections to the transport coefficients in relativistic hydrodynamics are obtained using the linear response procedure. In particular, using first-order hydrodynamics, the shear viscosity, entropy density, diffusion constant, and speed of sound are shown not to acquire any corrections from the functional measure of gravity, for a Minkowski background metric. On the other hand, the energy density, the pressure, the relaxation time, the bulk viscosity, the decay rate of sound waves, and coefficients of conformal traceless tensor fields, are shown to carry significant quantum corrections due to the functional measure, even for a flat background. They all acquire an imaginary part that reflects the instability of the strongly-coupled fluids on the boundary CFT. This opens up the possibility of testing quantum gravity with the quark-gluon plasma.

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