调制再加热方案中的非高斯性
Non-Gaussianity in the modulated reheating scenario
摘要：
研究了调制再加热情形下原初曲率扰动的非高斯性，在调制再加热情形下，原初曲率扰动是由暴胀子衰变率的空间涨落产生的.我们使用的$δN$形式主义，以评估曲率扰动的三谱以及其双谱。我们给出了三个非线性参数$f_{NL}, τ_{NL}$和$g_{NL}$在调制再加热的情况下的表达式。如果标量场涨落的本征非高斯性和衰变率对标量场的三阶导数小到可以忽略，则$g_{NL}$至少与$f_{NL}$具有相同的数量级。我们还给出了$f_{NL}$和$τ_{NL}$之间的一般不等式，只要原初非高斯性来自超视界演化，这个不等式对其他暴胀情形也成立.
英文摘要：
We investigate the non-Gaussianity of primordial curvature perturbation in the modulated reheating scenario where the primordial perturbation is generated due to the spacial fluctuation of the inflaton decay rate to radiation. We use the $δN$ formalism to evaluate the trispectrum of curvature perturbation as well as its bispectrum. We give expressions for three non-linear parameters $f_{NL}, τ_{NL}$ and $g_{NL}$ in the modulated reheating scenario. If the intrinsic non-Gaussianity of scalar field fluctuations and third derivative of the decay rate with respect to scalar fields are negligibly small, $g_{NL}$ has at least the same order of magnitude as $f_{NL}$. We also give general inequality between $f_{NL}$ and $τ_{NL}$ which is true for other inflationary scenarios as long as primordial non-Gaussianity comes from super-horizon evolution.
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