Particle production caused by the oscillation after inflation is important since it explains reheating after inflation. On the particle theory side, we know that effective action may have additional higher dimensional terms (usually called non-renormalizable terms) suppressed by the cut-off scale. Moreover, interaction between inflaton and so-called moduli field will be higher dimensional. Therefore, if such higher dimensional interaction is significant for resonant particle production, one cannot avoid the effect in preheating study. We explicitly calculated the required number of oscillation for the energy transfer. Consequently, cosmological history of an oscillating field and the moduli problem can be reconsidered.
Preheating with non-minimally coupled scalar fields in higher-curvature inflation models
在高曲率暴胀模型（$R+α_n R^n$）中，我们研究了标量场$χ$与时空曲率$R$（$ξR χ^2$）非极小耦合的参量预热。在$R^2$ -膨胀模型的情况下，对于相当小的$ξ$值，即$|ξ|< several. Although the maximal fluctuation $ \sqrt{< χ^2 >}_{max} \approx 2 \times 10^{17} $ GeV for $ \approx-4 $ is almost the same as the chaotic inflation model with a non-minimally coupled $ × $ field, the growth rate of the fluctuation becomes much larger and efficient preheating is realized. We also investigate preheating for $ R^4 $ model and find that the maximal fluctuation is $ \sqrt{< χ^2 >}_{max} \approx 8 \times 10^{16} $ GeV for $ \approx-35 $，有效预热变得可能。
The Preheating Stage on The Starobinsky Inflation after ACT
Research Center for Quantum Physics, National Research and Innovation Agency (BRIN)（量子物理研究中心，国家研究与创新署（BRIN））；Dept. of Physics Education, Universitas Islam Negeri Sunan Kalijaga（苏南卡利贾加伊斯兰大学物理教育系）；Physics Department, Universitas Gadjah Mada（加查马达大学物理系）
