二维Hadamard方程组的构造
On the construction of the Hadamard sates in two dimensions
摘要：
阿达玛态条件的二维模拟用于指定与耦合到二维引力背景的线性量子场相关联的局部阿达玛态。为了刻画一个物理真空态对应的局部Hadamard态，我们应用了一个超选择规则，其中两点函数的态依赖部分由动力学标量场决定.它暗示了真空态和耦合到引力的标量场之间的基本联系。我们使用两种不同的背景度规，即二维的Schwarzschild度规和FRW度规，通过这种超选择规则研究了Hadamard真空态的特性。
英文摘要：
The two dimensional analog of the Hadamard state condition is used to specify the local Hadamard states associated with a linear quantum field coupled to a two dimensional gravitational background. To characterize a local Hadamard state corresponding to a physical vacuum state, we apply a superselection rule in which the state dependent part of the two-point function is determined in terms of a dynamical scalar field. It implies a basic connection between the vacuum state and a scalar field coupled to gravity. We study the characteristics of the Hadamard vacuum state through this superselection rule using two different background metrics, the two dimensional analog of the schwarzschild and FRW metric.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
