Title: Non-Minimally Gravity-Coupled Inflationary Models Show Chinese title

Title: 非最小引力耦合的暴胀模型

Abstract: We consider the non-supersymmetric models of chaotic (driven by a quadratic potential) and hybrid inflation, taking into account the minimal possible radiative corrections to the inflationary potential. We show that two simple coupling functions f(sigma) (with a parameter ck involved) between the inflaton field, sigma, and the Ricci scalar curvature ensure, for sub-Planckian values of the inflaton field, observationally acceptable values for the spectral index, ns, and sufficient reheating after inflation. In the case of chaotic inflation we consider two models with large ck's resulting to ns=0.955 or 0.967 and tensor-to-scalar ratio r=0.2 or 0.003, respectively. In the case of hybrid inflation, the selected f(sigma) assists us to obtain hilltop-type inflation. For values of the relevant mass parameter, m, less than 10^6 TeV and the observationally central value of ns, we find ck=(0.015-0.078) with the relevant coupling constants lambda=kappa and the symmetry breaking scale, M, confined in the ranges (2x 10^{-7}-0.001) and (1-16.8)x10^{17} GeV, respectively. Show Chinese abstract

Abstract: 我们考虑非超对称的混沌（由二次势驱动）和混合暴胀模型，考虑到暴胀势的最小可能辐射修正。 我们表明，两个简单的耦合函数f(sigma)（包含参数ck）在暴胀场sigma和曲率标量之间，对于普朗克以下的暴胀场值，能确保光谱指数ns的观测可接受值以及暴胀后的足够再加热。 在混沌暴胀的情况下，我们考虑两个具有大ck值的模型，分别得到ns=0.955或0.967以及张量-标量比r=0.2或0.003。 在混合暴胀的情况下，所选择的f(sigma)帮助我们获得山脊型暴胀。 对于相关质量参数m小于10^6 TeV和观测中心值的ns，我们发现ck=(0.015-0.078)，相关的耦合常数lambda=kappa，以及对称性破缺尺度M分别限制在(2x 10^{-7}-0.001)和(1-16.8)x10^{17}GeV范围内。