论文标题
厚褐色的基本能量尺度模拟重力
Fundamental energy scale of the thick brane in mimetic gravity
论文作者
论文摘要
在本文中，研究了带有拉格朗日乘数公式的模拟标量场产生的厚麸皮。我们给出了具有不同渐近行为的三种典型厚的棕板背景解决方案，并表明所有溶液在张量扰动下都是稳定的。张量扰动的有效潜力分别表现为火山电位，PoöschlTeller的电势和谐波振荡器的电势，分别在三种背景解决方案中。这三种情况的所有张量零模式（无质量重力）都可以定位在勃雷河上。我们还计算了牛顿潜力的校正。在很大程度上，可以忽略牛顿电位的更正。在小规模的情况下，与其他两种情况相比，来自火山样电势的校正更为明显。将这三种情况的牛顿潜力的具体校正和短期重力实验的最新结果结合在一起，我们将比例参数的约束限制为$ k \ gtrsim 10^{ - 4} $ eV，并限制了相应的五维基本尺度AS $ m_ \ ast ast \ ast \ ast \ ast \ gtrsim10^5 $ tev。
In this paper, thick branes generated by the mimetic scalar field with Lagrange multiplier formulation are investigated. We give three typical thick brane background solutions with different asymptotic behaviors and show that all the solutions are stable under tensor perturbations. The effective potentials of the tensor perturbations exhibit as volcano potential, Poöschl-Teller potential, and harmonic oscillator potential for the three background solutions, respectively. All the tensor zero modes (massless gravitons) of the three cases can be localized on the brane. We also calculate the corrections to the Newtonian potential. On a large scale, the corrections to the Newtonian potential can be ignored. While on a small scale, the correction from the volcano-like potential is more pronounced than the other two cases. Combining the specific corrections to the Newtonian potential of these three cases and the latest results of short-range gravity experiments, we get the constraint on the scale parameter as $k\gtrsim 10^{-4}$eV, and constraint on the corresponding five-dimensional fundamental scale as $M_\ast \gtrsim10^5$TeV.
