论文标题
$ f（r）$重力，wey仪对称性破裂，宇宙学的反应及其对CMB各向异性的影响
$f(R)$ gravity with broken Weyl gauge symmetry, cosmological backreaction, and its effects on CMB anisotropy
论文作者
论文摘要
我们提出了一种新的$ f（r）$理论类别，其中其Weyl仪表对称性在宇宙的原始时代被打破。这种对称性迫使人们采用新的标量场，即Weyl场和量规载体玻色子。此外，发现了与函数$ f（r）$相对应的非最小耦合标量场的爱因斯坦 - 希尔伯特·拉格朗日的等效形式。由于Weyl场的几何特征，事实证明，对称性破坏会引起非最小耦合，这在标准的$ f（r）$理论中无法预期。我们解释这如何影响宇宙学量表的宇宙的演变。结果表明，普朗克常数和宇宙常数可能会发生价值变化。这可以被视为宇宙反应的真正示例。此外，人们还发现了扰动变量和宇宙微波背景各向异性的新特征。此外，我们证明，当特定的$ f（r）$模型引用通胀时，原始引力波的幅度会影响由于新的非微耦合而导致标量扰动的演变。作为案例研究，我们解释了如何在Starobinsky通货膨胀中体现这一点。最后，我们讨论了这种物理学可以承受的一些影响，以及对宇宙学变量的估计，例如通过实验进行重力波振幅等新限制。
We propose a new class of $f(R)$ theory where its Weyl gauge symmetry is broken in the primordial era of the universe. This symmetry forces one to adopt a new scalar field, namely a Weyl field and a gauge vector boson. Furthermore, an equivalent form of the Einstein-Hilbert Lagrangian with a non-minimally coupled scalar field corresponding to the function $f(R)$ is found. Due to the geometrical feature of the Weyl field, it turns out that the symmetry breaking induces a non-minimal coupling, which cannot be expected in the standard $f(R)$ theories. We explain how this affects the evolution of the universe at cosmological scales. It is shown that there may be a value shift in the Planck constant and the cosmological constant. This can be regarded as a genuine exemplification of the cosmological backreaction. Furthermore, one also finds new features in the evolution of perturbational variables and cosmic microwave background anisotropy. Moreover, we prove that when a specific $f(R)$ model invokes inflation, the amplitude of the primordial gravitational waves affects the evolution of scalar perturbation due to the new non-minimal coupling. As a case study, we explain how this can be embodied in the Starobinsky inflation. Finally, we discuss some impacts that this physics can bear and the possibility of giving a new restriction of the estimation of cosmological variables such as the gravitational wave amplitude with experiments.
