论文标题
在多场中使用早期和晚期的深色能量统一通货膨胀:自发折断的规模不变TMT
Unifying Inflation with early and late Dark Energy in Multi-Fields: Spontaneously broken scale invariant TMT
论文作者
论文摘要
讨论了具有三个平坦区域的统一多标量场模型。这三个平坦的区域是通货膨胀,早期和晚期的深色能源时期。通过非riemannian集成度量产生的量表不变性(或两种测量理论(TMT))产生的量表不变性的自发破坏获得了电位。我们将标量场的规模不变耦合通过指数势来定义不同度量。当整合定义措施的场时,会自发破坏规模不变性。进入爱因斯坦框架时,我们将获得:(i)具有三个平坦区域的标量场的有效潜力,可以对早期宇宙通胀(在较高能量密度平坦区域)以及当前的深色能量时期进行统一描述,该时期可以通过双相实现,即在两个平坦的区域中。 (ii)在缓慢的滚动通货膨胀中,只有一个田间组合``dilaton''在比例转换下变换的``dilaton''具有非琐碎动力学,正交动力学,即尺度不变的范围保持恒定。(iv)在晚期宇宙中,我们定义了尺度不变的量表,以确定尺度的范围,以确定这些尺寸的范围。领域,尽管所有可能的$ 5^{th} $的非外来非规范行为消失了(v),我们在这些条件下计算了后期宇宙的演变。通货膨胀时期和这些值期间的参数用于获得与当前时期相关的约束。
A unified multi scalar field model with three flat regions is discussed. The three flat regions are the inflation, early and late dark energy epochs. The potential is obtained by a spontaneous breaking of scale invariance generated by Non Riemannian Measures of integration (or Two Measures Theories (TMT)).We define the scale invariant couplings of the scalar fields to the different measures through exponential potentials. Spontaneous breaking of scale invariance takes place when integrating the fields that define the measures. When going to the Einstein frame we obtain: (i) An effective potential for the scalar fields with three flat regions which allows for a unified description of both early universe inflation (in the higher energy density flat region) as well as of present dark energy epoch which can be realized with a double phase, i.e., in two flat regions. (ii) In the slow roll inflation, only one field combination the ``dilaton", which transforms under scale transformations, has non trivial dynamics, the orthogonal one, which is scale invariant remains constant. (iv) In the late universe we define scale invariant couplings of Dark Matter to the dilaton. These couplings define a matter induced potential for the dilaton and extremizing this potential determines the scale invariant scalar field, while all exotic non canonical behavior of the Dark Matter as well as any possible $5^{th}$ force disappear. (v) We calculate the evolution of the late universe under these conditions with the realization of two different possible realizations of $Λ$CDM type scenarios depending of the flat region in the late universe. These two phases could appear at different times in the history of the universe.(vi) From the Planck data, we find the constraints on the parameters during the inflationary epoch and these values are used to obtain constraints relevant to the present epoch.