论文标题
在4D黑洞背景中的热菲尔德双状态上的备注
Remarks on the thermofield double state in 4D black hole background
论文作者
论文摘要
最近显示，在空位中，对于具有非典型温度的热状态，传播器的繁殖物有异常的奇异性。在本文中，我们将这些观察结果扩展到了背景几何形状由四维Schwarzschild和Reissner-Nordström黑洞给出的情况。也就是说，我们证明了自由标量场理论中的两点函数在两个点位于地平线上时会获得异常的奇异性。从两点函数中的发散项之前的系数与规范函数不同，并且明确取决于状态的温度，这种奇异性是异常的。如前所述，当状态的温度与地平线的规范温度不一致时，它会导致地平线正常应力 - 能量张量的爆炸性行为。
Recently it was shown that there is an anomalous singularity of propagators in spacetimes with horizons for thermal states with non--canonical temperatures. In this paper we extend these observations to the situation when the background geometry is given by the four--dimensional Schwarzschild and Reissner-Nordström black holes. Namely, we demonstrate that the two-point function in the free scalar field theory acquires anomalous singularity when the two points are located on the horizon. This singularity is anomalous in the sense that the coefficient before the divergent term in the two-point function differs from the canonical one and depends explicitly on the temperature of the state. As it was previously shown, it leads to the explosive behavior of the regularised stress-energy tensor on the horizon when the temperature of the state does not coincide with the canonical temperature of the horizon.
