论文标题
非最少耦合标量星星宾斯基通货膨胀中的紫外线违规行为
Ultraviolet Unitarity Violations in Non-minimally Coupled Scalar-Starobinsky Inflation
论文作者
论文摘要
我们通过包括额外的$ r^2 |φ|^2 $ -type术语来执行树级紫外线违规量表的计算。由于某些限制,我们求助于爱因斯坦框架进行计算,在该框架中,我们将分析分析在公制和Palatini公式之间。我们遵循这一行中的最新作品,这些著作揭示了希格斯通货膨胀模型中对单位性违规的天真预测,以确定如何准确估计紫外线限制中散射幅度的行为。稍后,我们通过假设与已知通货膨胀情景相对应的电势来解决不同的情况,因此我们可以预测这些理论将保持统一到普朗克政权的耦合参数的范围。我们还试图在从通货膨胀到加热时期的过渡期间找到这些理论的散射幅度的行为。
We perform the calculation for tree-level ultraviolet unitarity violation scales for scalar-$R^2$ inflation models by including an additional $R^2 |Φ|^2$-type term. Due to certain constraints, we resort to the Einstein frame for our calculations, where we separate our analysis between metric and Palatini formulations. We follow recent works in this line that debunk the naive predictions for unitarity violations in Higgs' inflation models to determine how to accurately estimate the behaviour of scattering amplitudes in the UV limit. Later, we work out different cases by assuming potentials corresponding to known inflation scenarios so we could predict the range of coupling parameters for which the theories would remain unitary up to the Planckian regime. We also try to find the behaviour of the scattering amplitudes for these theories during the transition from inflationary to reheating epoch.