论文标题
局部动量空间：标量场和重力
Local momentum space: Scalar field and gravity
论文作者
论文摘要
我们使用局部动量空间技术来获得标量场的Feynman繁殖器的扩展，而Graviton在背景曲率中达到了一阶。传播器的表达式与过去的文献以及追踪热核系数的表达式进行了交叉检查。如此获得的传播器用于计算Vilkovisky-Dewitt对标量场的有效作用中的一环差异，该动作非最少与重力相结合，以进行任意的时空度量背景。然后将Vilkovisky-Dewitt与限制$κ= 0 $中的标准有效动作进行比较，其中$κ= 2/m_p $就普朗克质量而言。比较得出的重要结果是，在计算vikovisky-dewitt之后，在没有重力的情况下，采取限制$κ= 0 $的有效作用并不等于相同理论的有效作用。
We use the local momentum space technique to obtain an expansion of the Feynman propagators for scalar field and graviton up to first order in the background curvature. The expressions for the propagators are cross-checked with the past literature as well as with the expressions for the traced heat kernel coefficients. The propagators so obtained are used to compute one-loop divergences in the Vilkovisky-Dewitt's effective action for a scalar field non-minimally coupled with gravity for an arbitrary spacetime metric background. The Vilkovisky-DeWitt effective action is then compared with the standard effective action in the limit $κ=0$, where $κ= 2/M_P$ in terms of the Planck mass. The comparison yields the important result that taking the limit $κ=0$ after computing the Vikovisky-DeWitt effective action is not equivalent to computing the Vikovisky-DeWitt effective action for the same theory in the absence of gravity.
