A simple operator check of the effective fermion mode function during inflation
A simple operator check of the effective fermion mode function during inflation
复制标题
充气期间有效费米子模式功能的简单操作员检查
DOI：
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发表时间：
2008
期刊：
影响因子：
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通讯作者：
R. Woodard
中科院分区：
文献类型：
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作者：
S. Miao;R. Woodard
我们提出了一个相对简单的运营商形式主义，再现领先的红外线对数的单圈量子引力修正的费米子模函数的本地德西特背景。这个规则可以作为暴胀期间量子引力的最终随机公式的基础。这样的一种形式不仅可以大大简化在固定循环阶下求ln（a）的首方幂的过程，而且还可以使我们对首方幂的级数求和。一个潜在的重要点是，我们的规则似乎不符合任何简单的红外截断的领域。我们的分析还强调了自旋作为一种引力相互作用的重要性，即使在动能红移为零的情况下，这种引力相互作用也会持续存在。
We present a relatively simple operator formalism which reproduces the leading infrared logarithm of the one-loop quantum gravitational correction to the fermion mode function on a locally de Sitter background. This rule may serve as the basis for an eventual stochastic formulation of quantum gravity during inflation. Such a formalism would not only effect a vast simplification in obtaining the leading powers of ln(a) at fixed loop orders, but also permit us to sum the series of leading logarithms. A potentially important point is that our rule does not seem to be consistent with any simple infrared truncation of the fields. Our analysis also highlights the importance of spin as a gravitational interaction that persists even when kinetic energy has redshifted to zero.