论文标题

仪表不变性,极性坐标和通货膨胀

Gauge Invariance, Polar Coordinates and Inflation

论文作者

Akil, Ali, Tong, Xi

论文摘要

我们指出的是,在宇宙学可观察物的量子校正中,需要解决明显的量规依赖性。我们强调了这样一个量规依赖性是由于使用不对称背景电流所致,该电流特定于标量歧管中的坐标系统选择。通过使用从极性的背景当前选择获得的有效电位,我们进一步提出了与复杂性的简单性相对于复杂性的,我们进一步提出了一个实用的快捷方式。我们为几个明确的例子证明了这一快捷方式,并在Abelian Higgs模型中对通货膨胀可观察的无关预测。此外,凭借尼尔森(Nielsen)的规格依赖性身份,我们表明,对于所有阶的任何理论,衡量不变的当前项都具有量规独立的有效潜力,因此具有规格不变的通货膨胀可观察力。

We point out the necessity of resolving the apparent gauge dependence in the quantum corrections of cosmological observables for Higgs-like inflation models. We highlight the fact that this gauge dependence is due to the use of an asymmetric background current which is specific to a choice of coordinate system in the scalar manifold. Favoring simplicity over complexity, we further propose a practical shortcut to gauge-independent inflationary observables by using effective potential obtained from a polar-like background current choice. We demonstrate this shortcut for several explicit examples and present a gauge-independent prediction of inflationary observables in the Abelian Higgs model. Furthermore, with Nielsen's gauge dependence identities, we show that for any theory to all orders, a gauge-invariant current term gives a gauge-independent effective potential and thus gauge-invariant inflationary observables.

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