论文标题
标量和旋转器在全球保姆中的有效动作
Scalar and Spinor Effective Actions in Global de Sitter
论文作者
论文摘要
在本文中，我们使用内部/外面形式主义计算了在任何维度$ d $的全球de de de de space中的标量场和狄拉克纺纱场的有效动作。我们表明，标量场和纺纱场的均匀尺寸都存在粒子的产生。在后期，in-out真空振幅$ z_ {in/out} $在晚期存在分歧。通过使用尺寸正则化，我们提取$ d $均匀的$ \ log z_ {in/out} $的有限部分，以及$ \ log z_ {in/out of $ d $奇数的$ \ log log z_ {in/out of的对数部分。我们还发现，正则化真空振幅等于在两种理论中识别某些参数时，与$ ads_d $不同量化相关的决定因素的比率。
In this paper, we compute the effective action of both a scalar field and a Dirac spinor field in the global de Sitter space of any dimension $d$ using the in-/out-state formalism. We show that there is particle production in even dimensions for both scalar field and spinor field. The in-out vacuum amplitude $Z_{in/out}$ is divergent at late times. By using dimensional regularization, we extract the finite part of $\log Z_{in/out}$ for $d$ even and the logarithmically divergent part of $\log Z_{in/out}$ for $d$ odd. We also find that the regularized in-out vacuum amplitude equals the ratio of determinants associated with different quantizations in $AdS_d$ upon the identification of certain parameters in the two theories.
