论文标题
在非平滑时段的绝热基态
Adiabatic Ground States in Non-Smooth Spacetimes
论文作者
论文摘要
地面状态是众所周知的哈达姆州，在平稳时期。在本文中，我们表明，在非平滑超级时空中，克莱因 - 戈登场的基态是绝热状态。状态的顺序在线性上取决于度量的规律性。我们通过结合因果传播器的微局部估计值，非平滑伪差异操作员的奇异性结果以及低规律性的椭圆算子的特征值渐近造型来获得结果。
Ground states are a well-known class of Hadamard states in smooth spacetimes. In this paper we show that the ground state of the Klein-Gordon field in a non-smooth ultrastatic spacetime is an adiabatic state. The order of the state depends linearly on the regularity of the metric. We obtain the result by combining microlocal estimates for the causal propagator, propagation of singularities results for non-smooth pseudodifferential operators, and eigenvalue asymptotics for elliptic operators of low regularity.
