论文标题
多个向量场和非高斯的通货膨胀
Inflation with multiple vector fields and non-Gaussianities
论文作者
论文摘要
我们考虑了一种通货膨胀模型，其中包括$ u（1）$ vector领域的三胞胎，其平等性违反了相互作用，该相互作用是非最小耦合与Afteraton的相互作用。向量场扇区享受全局$ O（3）$对称性，该$ o（3）$ o（3）$ o（3）$ o（3）$ o（3）$ o（3）$ o（3）$ o（3）$ o（3）$ o（3）$ o（3）$ o（3）$ o（3）$ o（3）$ o（3）$ o（3）$ o（3）$ O（3）$ O（3），不仅提供了矢量模式，还提供标量和张量模式。我们将标量扰动分解为绝热，熵和等效性扰动，并计算标量和张量扇区的所有功率谱以及跨相关性。与矢量场相关的张量模式有助于引力波的功率谱，而违反术语的平均值则在引力谱和Bispectra中产生手性。我们研究了非线性标量和张量扰动，并计算所有双光线和三点互相关。特别是，这表明曲率扰动和重力波的非高斯性通过矢量场扰动增强。我们表明，非高斯性质对模型参数产生了强烈的限制，例如违反耦合的奇偶校验和向量场的分数能量。
We consider a model of inflation consisting a triplet of $U(1)$ vector fields with the parity violating interaction which is non-minimally coupled to inflaton. The vector field sector enjoys global $O(3)$ symmetry which admits isotropic configuration and provides not only vector modes but also scalar and tensor modes. We decompose the scalar perturbations into the adiabatic, entropy and isocurvature perturbations and compute all power spectra and cross correlations of the scalar and the tensor sectors. The tensor modes associated with the vector fields contribute to the power spectrum of gravitational waves while the parity violating term generates chirality in gravitational power spectra and bispectra. We study nonlinear scalar and tensor perturbations and compute all bispectra and three-point cross-correlations. In particular, it is shown that the non-Gaussianity of curvature perturbations and gravitational waves are enhanced by the vector field perturbations. We show that non-Gaussianities put strong constraints on the model parameters such as the parity violating coupling and the fractional energy of the vector fields.
