论文标题
Palatini-Higgs与非最小衍生耦合的通货膨胀
Palatini-Higgs inflation with non-minimal derivative coupling
论文作者
论文摘要
标准希格斯通货膨胀在公制形式主义框架中的预测产生了张量与量表比$ r \ sim 10^{ - 3} $，这很好地属于近未预测实验的预期准确性$ \ sim 10^{ - 4} $。当采用palatini形式主义时，$ r $的预测值得到了高度抑制的$ r \ sim 10^{ - 12} $，因此可能不检出原始张量的波动仅将排除模型的度量变体。另一方面，Palatini方法预测以$ r $预测的极小值构成与观察的接触，这是可预见的未来无望的任务。在这项工作中，我们提出了一种方法来解决此问题，通过在加利福尼亚和EINSTEIN形式之间包含概括的非最低衍生耦合项，以扩展该动作，以$ m^{ - 2}（ - 2}（ϕ）g_ {μLν} \ nabla^μxtanbaLa^μxtemanabla^nabla^v ϕ $。我们发现，通过这种修改，palatini预测可以与公制形式主义中获得的预测相媲美，从而为模型提供了足够的空间，可以在不久的将来与观测值接触。
The predictions of standard Higgs inflation in the framework of the metric formalism yield a tensor-to-scalar ratio $r \sim 10^{-3}$ which lies well within the expected accuracy of near-future experiments $ \sim 10^{-4}$. When the Palatini formalism is employed, the predicted values of $r$ get highly-suppressed $r\sim 10^{-12}$ and consequently a possible non-detection of primordial tensor fluctuations will rule out only the metric variant of the model. On the other hand, the extremely small values predicted for $r$ by the Palatini approach constitute contact with observations a hopeless task for the foreseeable future. In this work, we propose a way to remedy this issue by extending the action with the inclusion of a generalized non-minimal derivative coupling term between the inflaton and the Einstein tensor of the form $m^{-2}(ϕ) G_{μν}\nabla^μϕ\nabla^νϕ$. We find that with such a modification, the Palatini predictions can become comparable with the ones obtained in the metric formalism, thus providing ample room for the model to be in contact with observations in the near future.
