论文标题
线性扰动的通用性（$ n $） - 自然通胀
Universality of linear perturbations in SU($N$)-natural inflation
论文作者
论文摘要
我们证明了从整个通货膨胀模型中的线性扰动预测的普遍性，该模型由伪刻录场驱动，并与SU（$ n $）量表Boson相结合，SU（$ 2 $）子组中的SU（$ n $）与背景空间（$ 3 $）SO（$ 3 $）跨越了SU（$ 3 $），因此将SO（$ 3 $）划分为$ 3 $ 3 $ 3 $ 3 $ 3 $ 3 $ 3 $ 3 $ 3 $ 3 $ 3。 SU（$ 2 $）子组的效果（$ n $）可以通过自发对称破坏获得VEV，可以通过单个参数$λ$量化，该参数总是与量规耦合常数$ g $结合出现。在线性扰动以及背景系统中，通过将$ g \替换为gλ$，其SU（$ n $）扩展的镀铬自然通胀（$ n $）扩展中具有相同的动态和预测。因此，后者的模型在$ n_s $ - $ r $平面上绘制了相同的预测曲线，而前者则在$gλ$的情况下在通货膨胀期间保持恒定。我们简要地讨论了从通货膨胀和观察前景期间从一个$λ$的一个价值到另一个价值的过渡。
We prove the universality of predictions for linear perturbations from the entire class of models of inflation driven by a pseudo-scalar field coupled to an SU($N$) gauge boson, where SU($2$) subgroups in the SU($N$) crossed with the background spatial SO($3$) spontaneously break into a single SO($3$). The effect of which SU($2$) subgroup in SU($N$) acquires a VEV through spontaneous symmetry breaking can be quantified by a single parameter $λ$, which always appears in combination with the gauge coupling constant $g$. In the linear perturbations, as well as the background system, the same dynamics and predictions as in the chromo-natural inflation hold for its SU($N$) extension by replacing $g \to gλ$. The latter models thereby draw the same prediction curve on the $n_s$-$r$ plane as the former at the tree level as long as $g λ$ stays constant during inflation. We briefly discuss possible transitions from one value of $λ$ to another during inflation and the observational prospects.
