AI 中文总结
研究采用格点方法分析标量高斯-博内引力下的超慢滚暴胀，发现格点修正可增强该模型匹配脉冲星计时阵列观测的能力。
AI 中文摘要
我们采用格点方法研究标量高斯-博内（Scalar Gauss-Bonnet, SGB）引力理论中的暴胀，重点关注峰值频率落入脉冲星计时阵列（PTA）频段的超慢滚场景。在我们考虑的参数范围内，格点结果超出了微扰理论的预测，这与爱因斯坦引力中的情况不同。我们进一步发现，当原初曲率谱的峰值达到~10⁻²时，格点修正变得显著。我们利用格点方法和传统微扰方法得到的原初功率谱，计算了二阶标量诱导引力波（Scalar Induced Gravitational Waves, SIGWs）的能谱，并结合当前脉冲星计时阵列（PTA）观测分析SGB模型。我们的结果表明，格点修正增强了SGB模型匹配PTA观测的能力。
英文摘要
We use lattice methods to study inflation in the scalar Gauss-Bonnet (SGB) gravity theory. We focus on the ultra-slow-roll scenario with the peak frequency falls into the PTA band. In the parameter range we consider, we find that the lattice results exceed the perturbative predictions, which differs from the case in Einstein gravity. We further find that lattice corrections become significant when the peak of the primordial curvature spectrum reaches $\sim 10^{-2}$. We calculate the energy density spectra of second-order scalar induced gravitational waves (SIGWs) using the primordial power spectra obtained from both the lattice method and the traditional perturbative method, and analyze the SGB model in light of current pulsar timing array (PTA) observations. Our results indicate that lattice corrections enhance the ability of the SGB model to dominate the PTA observations.
Comments10 pages, 6 figures
