论文标题
二维DE Sitter空间中的汽车标量字段
Automorphic scalar fields in two-dimensional de Sitter space
论文作者
论文摘要
我们研究在二维DE保姆空间中具有正质量的非相互作用的自动量子标量。我们发现，除了周期性的情况外，没有哈哈达姆状态是不变的，这扩展了爱泼斯坦和莫斯切拉的抗周期案例的结果。我们通过利用它们是满足普通微分方程的两个点之间的地理距离的函数来构建为非hadamard de Sitter不变性状态的两点Wightman功能。然后，我们检查某个并非保姆不变的hadamard状态，并表明当限制到时空的静态区域时，它大约是一个具有长臂轴温度的热状态。
We study non-interacting automorphic quantum scalar fields with positive mass in two-dimensional de Sitter space. We find that there are no Hadamard states which are de Sitter invariant except in the periodic case, extending the result of Epstein and Moschella for the anti-periodic case. We construct the two-point Wightman functions for the non-Hadamard de Sitter-invariant states by exploiting the fact that they are functions of the geodesic distance between the two points satisfying an ordinary differential equation. We then examine a certain Hadamard state, which is not de Sitter invariant, and show that it is approximately a thermal state with the Gibbons-Hawking temperature when restricted to a static region of the spacetime.
