论文标题

用原始重力波测试量子重力

Testing quantum gravity with primordial gravitational waves

论文作者

Calcagni, Gianluca, Modesto, Leonardo

论文摘要

我们提出了一种直接建立在非常一般的紫外线中的通货膨胀的可测试替代方案。后者自发断裂后,对动作的对数量子校正使原始张量光谱(来自重力量波动)和标量频谱(来自热波动)准标度不变。我们预测一个标量光谱索引$ n _ {\ rm s} $,它仅取决于两个参数,并且与观察值一致,一个张量索引$ n _ {\ rm t} = 1-n _ {\ rm s}> 0 $,以及理论$ c $ c $ c $ c $ c}在Planck Mass中,张量与尺度比率$ r_ {0.05} \大约0.01 $在不久或不久的将来可以通过二头肌阵列和Litebird检测到,并且在更远的将来,Decigo可观察到的蓝色倾斜随机重力波背景。从观测约束$ r_ {0.05} <0.036 $,我们还找到了下限$λ_*> 8.5 \ times 10^{10} \,{\ rm gev} $,比以前的任何一个都强得多。

We propose a testable alternative to inflation directly built in a very general class of ultraviolet complete theories of quantum gravity enjoying Weyl invariance. After the latter is spontaneously broken, logarithmic quantum corrections to the action make both the primordial tensor spectrum (from graviton fluctuations) and the scalar spectrum (from thermal fluctuations) quasi scale invariant. We predict a scalar spectral index $n_{\rm s}$ which only depends on two parameters and is consistent with observations, a tensor index $n_{\rm t} =1-n_{\rm s}>0$, and, if the fundamental energy scale of the theory $Λ_*=M_{\textrm{Pl}}$ is of order of the Planck mass, a tensor-to-scalar ratio $r_{0.05}\approx 0.01$ detectable by BICEP Array and LiteBIRD in the immediate or near future, respectively, and a blue-tilted stochastic gravitational-wave background observable by DECIGO in the further future. From the observational constraint $r_{0.05}<0.036$, we also find the lower bound $Λ_*> 8.5\times 10^{10}\,{\rm GeV}$, much stronger than any previous one for this class of theories.

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