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arXiv 0904.3201astro-ph.COgr-qc
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用CMB极化数据对电动力学普朗克尺度修正的限制

A Constraint on Planck-scale Modifications to Electrodynamics with CMB polarization data

Giulia Gubitosi, Luca Pagano, Giovanni Amelino-Camelia, Alessandro Melchiorri, Asantha Cooray

摘要:

我们表明,宇宙微波背景(CMB)的偏振数据收集的BOOMERanG 2003年的飞行和WMAP提供了一个机会,调查{ \it在真空}双折射,一种类型的预期在一些量子图像的时空,具有灵敏度,甚至超出了所需的普朗克尺度的能量。为了使这一约束更加透明,我们依赖于一个研究得很好的量子引力诱导双折射的唯象模型,在这个模型中,人们很容易建立在普朗克尺度下引入的效应相当于一个无量纲参数的值,用$ξ$表示,相对于普朗克能量,它大约是1阶。通过结合BOOMERAN G和WMAP数据,我们估计$ξ\simeq -0.110 \pm 0.076$在68% c. l.此外,我们预测未来CMB极化实验(普朗克,蜘蛛,EPIC)可实现的$ξ$的灵敏度,在没有系统学的情况下,将分别在$8.5 \times 10^{-4}$(普朗克),$6.1 \times 10^{-3}$(蜘蛛)和$1.0 \times 10^{-5}$(EPIC)的1- $σ$置信度。CMB的宇宙方差限制灵敏度为$6.1\times 10^{-6}$。

英文摘要:

We show that the Cosmic Microwave Background (CMB) polarization data gathered by the BOOMERanG 2003 flight and WMAP provide an opportunity to investigate {\it in-vacuo} birefringence, of a type expected in some quantum pictures of space-time, with a sensitivity that extends even beyond the desired Planck-scale energy. In order to render this constraint more transparent we rely on a well studied phenomenological model of quantum-gravity-induced birefringence, in which one easily establishes that effects introduced at the Planck scale would amount to values of a dimensionless parameter, denoted by $ξ$, with respect to the Planck energy which are roughly of order 1. By combining BOOMERanG and WMAP data we estimate $ξ\simeq -0.110 \pm 0.076$ at the 68% c.l. Moreover, we forecast on the sensitivity to $ξ$ achievable by future CMB polarization experiments (PLANCK, Spider, EPIC), which, in the absence of systematics, will be at the 1-$σ$ confidence of $8.5 \times 10^{-4}$ (PLANCK), $6.1 \times 10^{-3}$ (Spider), and $1.0 \times 10^{-5}$ (EPIC) respectively. The cosmic variance-limited sensitivity from CMB is $6.1\times 10^{-6}$.

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