论文标题
$ r^2 $重力对动力学轴轴相空间的影响
$R^2$ Gravity Effects on the Kinetic Axion Phase Space
论文作者
论文摘要
在这项工作中，我们考虑了$ r^2 $术语对动力学错位轴承理论的影响。通过在通货膨胀和场方程期间使用慢速假设，我们为动力学轴构建了一个自主动力系统，包括$ r^2 $项的效果，并在数值上求解了动态系统。正如我们所证明的那样，纯动轴上的吸引子在现场阶段空间中向右转移，它不再是$（ϕ，\ dot ϕ）=（\ langle ϕ \ rangle，0）$，但它是$（\ ϕ，\ dot ϕ）=（\ langle ϕ'\ rangle with $ with $ $ $ $ $ $ \'标量字段的非零值，带有$ \ langle ϕ'\ rangle> \ langle ϕ \ rangle $。该特征表明动力学轴支机制得到了增强，并且与纯动力学轴是相比，轴突振荡进一步延迟。还讨论了对通货膨胀时代持续时间的现象学含义，即开始加热时代和加热温度的开始。
In this work we consider the effect of an $R^2$ term on the kinetic misalignment axion theory. By using the slow-roll assumptions during inflation and the field equations, we construct an autonomous dynamical system for the kinetic axion, including the effects of the $R^2$ term and we solve numerically the dynamical system. As we demonstrate, the pure kinetic axion attractor is transposed to the right in the field phase space, and it is no longer $(ϕ,\dotϕ)=(\langle ϕ\rangle,0)$, but it is $(ϕ,\dotϕ)=(\langle ϕ'\rangle,0)$, with $\langle ϕ'\rangle\neq 0$ some non-zero value of the scalar field with $\langle ϕ'\rangle> \langle ϕ\rangle$. This feature indicates that the kinetic axion mechanism is enhanced, and the axion oscillations are further delayed, compared with the pure kinetic axion case. The phenomenological implications on the duration of the inflationary era, on the commencing of the reheating era and the reheating temperature, are also discussed.
