标题： WMAP9和单场膨胀模型 显示英文标题

标题： WMAP9 and the single field models of inflation

摘要： 利用WMAP的最新观测数据，我发现对于合理的膨胀因子数，具有自耦合幂次 \(p=3\) 的树级势现在已被排除在 \(2\sigma\) 区域之外；\( \alpha=2/3 \) 的轴子单值模型在 \(N=47\) 和 \(N=61\) 膨胀因子时也被排除在 \(1\sigma\) 置信区域之外。此外，当 \(N=61\) 时，\( \alpha=2/5 \) 也被排除在 \(2\sigma\) 区域之外。我还发现，由于运行上界的降低，在丘型模型中需要显著丰度的原初黑洞（PBHs）则要求自耦合具有分数幂次。 显示英文摘要

摘要： Using the latest release from WMAP, I find that for a reasonable number of e-folds the tree-level potential with self coupling power p=3 is now excluded from the 2-sigma region, the axion monodromy model with the power alpha=2/3 is now excluded from the 1-sigma confidence region for N=47 e-folds and for N=61. alpha=2/5 is also excluded from the 2-sigma region for N=61. I also find that since the upper bound on the running has been reduced, a significant abundance of PBHs requires fractional powers of self-coupling in the Hilltop-type model.