标题： $\mathbb{T}^{2}$- 暴涨：源于能量动量平方引力 显示英文标题

标题： $\mathbb{T}^{2}$- inflation: Sourced by energy-momentum squared gravity

摘要： 本文中，我们在能量-动量平方引力（EMSG）的框架下研究混沌暴胀，重点关注能量-动量驱动引力（EMPG），其中在爱因斯坦-希尔伯特作用量中引入了函数式 $f(\mathbb{T}^2)\propto (\mathbb{T}^2)^{\beta}$，其中 $\beta$ 是常数，而 $\mathbb{T}^2\equiv T_{\mu \nu}T^{\mu \nu}$ 中 $T_{\mu \nu}$ 是能量-动量张量，我们认为它表示具有幂律势的一个单标量场。 我们证明，EMSG 项的存在允许单场单项式混沌暴胀模型符合当前的观测限制，否则这些模型会被普朗克和 BICEP/Keck 的发现所排除。 我们还表明，在 EMSG 框架中使用具混沌势的非规范拉格朗日量会导致非高斯性参数 $f_{\rm Nl}^{\rm equi}$ 的值显著增大，而采用规范拉格朗日量的 EMSG 框架则产生与标准单场模型相似的结果。 显示英文摘要

摘要： In this paper, we examine chaotic inflation within the context of the energy-momentum squared gravity (EMSG) focusing on the energy-momentum powered gravity (EMPG) that incorporates the functional $f(\mathbb{T}^2)\propto (\mathbb{T}^2)^{\beta}$ in the Einstein-Hilbert action, in which $\beta$ is a constant and $\mathbb{T}^2\equiv T_{\mu \nu}T^{\mu \nu}$ where $T_{\mu \nu}$ is the energy-momentum tensor, which we consider to represent a single scalar field with a power-law potential. We demonstrate that the presence of EMSG terms allows the single-field monomial chaotic inflationary models to fall within current observational constraints, which are otherwise disfavored by Planck and BICEP/Keck findings. We show that the use of a non-canonical Lagrangian with chaotic potential in EMSG can lead to significantly larger values of the non-Gaussianity parameter, $f_{\rm Nl}^{\rm equi}$ whereas EMSG framework with canonical Lagrangian gives rise to results similar to those of the standard single-field model.