弯曲时空量子场的“类真空”Hadamard 态
广义相对论与量子宇宙学
2013-12-23 v2 数学物理
math.MP
摘要
我们提出了一种对最近提出的 Sorkin-Johnston 态的修正，该态适用于具有紧柯西超曲面的一类全局双曲时空上的标量自由量子场。此修正依赖于对易子函数的光滑截断，并且总是导出 Hadamard 态，这与原始的 Sorkin-Johnston 态形成对比。然而，由于平滑处理，修正后的 Sorkin-Johnston 态不再与时空唯一关联。
引用
@article{arxiv.1307.0482,
title = {"Vacuum-like" Hadamard states for quantum fields on curved spacetimes},
author = {Marcos Brum and Klaus Fredenhagen},
journal= {arXiv preprint arXiv:1307.0482},
year = {2013}
}
备注
Accepted for publication in CQG. Added Theorem 3.0.1 proving the purity of the states, added Theorem A.1 proving the essential self-adjointness of the elliptic operator. References were also added