论文标题
通过局部洛伦兹对称性破裂产生从修改的触发性重力产生原始波动
Generating primordial fluctuations from modified teleparallel gravity with local Lorentz-symmetry breaking
论文作者
论文摘要
在经过修改的电触电引力的背景下，我们研究了一般标量扭转理论的原始密度波动的产生，其Lagrangian密度是任意函数$ f（t，ϕ）$的扭力标量$ t $和标量范围$ ϕ $，以及该后者的动力学术语。众所周知，在六参数局部洛伦兹变换下，远程引力的通用修改并不是不变的。为了恢复局部的洛伦兹对称性，我们以对称对称性的戈德石模式的形式融合了六个额外的自由度，突破了四局场的洛伦兹旋转。整合了所有辅助模式后，我们获得了标量和张量传播模式及其在通货膨胀期间产生的功率谱的二阶动作。发现在曲率扰动的第二阶操作中出现了明确的质量术语，描述了慢速滚动的一阶侵犯局部洛伦兹的烙印。我们表明，只有具有非最小耦合功能的通货膨胀模型$ f（t，ϕ）$，在$ t $中是非线性的，包括$ f（t）$重力具有最小耦合标量字段的情况，可以产生原始波动。对于通货膨胀的具体模型，我们使用最新的Planck数据来研究幂律潜力。
In the context of modified teleparallel gravity, we study the generation of primordial density fluctuations in a general scalar-torsion theory whose Lagrangian density is an arbitrary function $f(T,ϕ)$ of the torsion scalar $T$ and a scalar field $ϕ$, plus the kinetic term of this latter. It is well known that generic modifications of teleparallel gravity are not invariant under six-parameter local Lorentz transformations. In order to restore the local Lorentz symmetry, we have incorporated six additional degrees of freedom in the form of Goldstone modes of the symmetry breaking through a Lorentz rotation of the tetrad field. After integrating out all the auxiliary modes, we obtain a second order action for the scalar and tensor propagating modes and their power spectrum generated during inflation. It is found that an explicit mass term emerges in the second order action for curvature perturbation, describing the imprints of local Lorentz violation at first-order of slow-roll. We show that only inflationary models with nonminimal coupling functions $f(T,ϕ)$ which are non-linear in $T$, including the case of $f(T)$ gravity with minimally coupled scalar field, can generate primordial fluctuations. For a concrete model of inflation, we study the power-law potential by using the latest Planck data.
