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arXiv 1404.1065astro-ph.COhep-th
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$ϕ^2$或不是$ϕ^2$：测试最简单的通货膨胀潜力

$ϕ^2$ or Not $ϕ^2$: Testing the Simplest Inflationary Potential

Paolo Creminelli, Diana López Nacir, Marko Simonović, Gabriele Trevisan, Matias Zaldarriaga

备注：
5 pages, 1 figure. Version 2: title and text have minor changes. Phys. Rev. Lett. published version
发表信息：
Phys. Rev. Lett. 112, 241303 (2014)
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摘要：

最简单的通货膨胀模型$V=\frac12 m^2ϕ^2$代表了未来约束的基准。对于二次势，量$(n_s-1)+r/4+11 (n_s-1)^2/24$为零（直到在慢滚中为三次的修正），并且可以用于参数化与最小情况的小偏差。未来对这个量的限制将能够区分二次势和具有$f \lesssim 30 M_{\rm pl}$的伪南布-戈德斯通玻色子，并对声速$| c_s-1| \lesssim 3\times 10^{-2}$（对应于能量标度$Λ\gtrsim 2\times 10^{16}\, \mathrm{GeV}$）偏离1的偏差以及第二场对扰动的贡献（$\lesssim 6 \times 10^{-2}$）设置限制。这些界限的限制因素将是光谱指数的不确定性。e折叠次数的误差为$ΔN \simeq 0.4$，对应于再加热温度的误差$ΔT_\mathrm{rh}/T_\mathrm{rh}\simeq 1.2$。我们对BICEP 2结果后非高斯性的相关性进行了评论。

英文摘要：

The simplest inflationary model $V=\frac12 m^2ϕ^2$ represents the benchmark for future constraints. For a quadratic potential, the quantity $(n_s-1)+r/4+11 (n_s-1)^2/24$ vanishes (up to corrections which are cubic in slow roll) and can be used to parametrize small deviations from the minimal scenario. Future constraints on this quantity will be able to distinguish a quadratic potential from a pseudo-Nambu-Goldstone boson with $f \lesssim 30 M_{\rm pl}$ and set limits on the deviation from unity of the speed of sound $| c_s-1| \lesssim 3\times 10^{-2}$ (corresponding to an energy scale $Λ\gtrsim 2\times 10^{16}\, \mathrm{GeV}$), and on the contribution of a second field to perturbations ($\lesssim 6 \times 10^{-2}$). The limiting factor for these bounds will be the uncertainty on the spectral index. The error on the number of e-folds will be $ΔN \simeq 0.4$, corresponding to an error on the reheating temperature $ΔT_\mathrm{rh}/T_\mathrm{rh}\simeq 1.2$. We comment on the relevance of non-Gaussianity after BICEP2 results.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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