论文标题
大$ n $随机矩阵重力和双层层次结构问题
Large-$N$ Random Matrix Gravity and the Double Hierarchy Problem
论文作者
论文摘要
为什么宇宙常数，电气和普朗克尺度如此不同？ This ``double hierarchy" problem, where $Λ\ll M^2_{EW} \ll M^2_p$, is one of the most pressing in fundamental physics. We show that in a theory of $N$ randomly coupled massive gravitons at the electroweak scale, these scales are linked precisely by such a double hierarchy for large $N$, with intriguing cosmological consequences.令人惊讶的是，在所有物理尺度上，只有一个无质量的重力出现，这也是唯一与之耦合的，带来了标准的爱因斯坦重力，$ m_p^2 \，g_ {μν} = t_ {μ观察到的经验关系$λ\，m_p^2 \ sim m_ {ew}^4 $以及双层次结构，自然出现自然是自$λ\ sim m^2_ {ew}/\ sqrt {ew}/\ sqrt {n} $ and $ m^2_p \ sim \ sim \ sim \ sim \ sqrt} $} $ ________________
Why are the cosmological constant, electroweak and Planck scales so different? This ``double hierarchy" problem, where $Λ\ll M^2_{EW} \ll M^2_p$, is one of the most pressing in fundamental physics. We show that in a theory of $N$ randomly coupled massive gravitons at the electroweak scale, these scales are linked precisely by such a double hierarchy for large $N$, with intriguing cosmological consequences. Surprisingly, in all the physical scales, only one massless graviton emerges which is also, effectively, the only one that is coupled to matter, giving rise to standard Einstein gravity, with $M_p^2\, G_{μν}= T_{μν}$ at large $N$. In addition there is a tower of massive gravitons, the lightest of which can drive late-time acceleration. In this scenario, the observed empirical relation $Λ\, M_p^2 \sim M_{EW}^4$ as well as the double hierarchy, arise naturally since $Λ\sim M^2_{EW}/\sqrt{N}$ and $M^2_p \sim \sqrt{N}M_{EW}^2$.
