论文标题
弯曲时空中绝热膨胀的R-Summs形式
R-summed form of adiabatic expansions in curved spacetime
论文作者
论文摘要
弯曲时空中的Feynman繁殖器接受了度量标准衍生物中的渐近（Schwinger-Dewitt）系列扩展。值得注意的是，可以准确地概括包含RICCI标量R的系列中的所有术语。我们表明，Schwinger-Dewitt系列的这种（非扰动）性质具有自然而同等的对应物，在同质宇宙学时段的标量模式的绝热（Parker-Fulling）系列扩展中。当还存在背景标量场时，可以进一步扩展两种R-summ的绝热膨胀之间的等效性。
The Feynman propagator in curved spacetime admits an asymptotic (Schwinger-DeWitt) series expansion in derivatives of the metric. Remarkably, all terms in the series containing the Ricci scalar R can be summed exactly. We show that this (non-perturbative) property of the Schwinger-DeWitt series has a natural and equivalent counterpart in the adiabatic (Parker-Fulling) series expansion of the scalar modes in an homogeneous cosmological spacetime. The equivalence between both R-summed adiabatic expansions can be further extended when a background scalar field is also present.
