论文标题
部分可观测时空混沌系统的无模型预测
Infinite critical boson induced non-Fermi liquid in $d=3-ε$ dimensions
论文作者
论文摘要
我们在量子相变附近研究了$ d = 3-ε$空间尺寸的Fermion-Boson耦合系统；无限的许多位于球体上的玻色子模式同时变为临界，被称为“临界玻色子球”（CBS）。费米表面上的费米子可以散布到低能极限的玻色子环上附近的点。玻色子散射通道$ n_ {b} $的数量也是无限的，这使众所周知的兰道阻尼效果在很大程度上被抑制。一环重新归一化组分析是通过渐近$ε$ - expansion进行的。我们发现费米昂的自我能源和Yukawa的互动顶点搭配$ε$ pol。此外，由于CBS的曲率效应，出现了增强。在某些扰动制度中，我们确定了一个边缘非Fermi液体（NFL）固定点，该固定点本质上存在于大$ N_B $限制中。无限的关键玻色子包括对矩阵大$ $ n_b $玻色子提出的自由度的物理实现。
We study the fermion-boson coupled system in $d=3-ε$ space dimensions near the quantum phase transition; infinite many boson modes located on a sphere become critical simultaneously, which is dubbed "critical boson sphere" (CBS). The fermions on the Fermi surface can be scattered to nearby points located on a boson ring in the low-energy limit. The number of boson scattering channel $N_{B}$ is also infinite, which renders the well-known Landau damping effect largely suppressed. The one-loop renormalization group analysis is performed with asymptotic $ε$-expansion. We find that the fermion self-energy and Yukawa interaction vertex are dressed with $ε$ poles; in addition, there emerges an enhancement due to the curvature effect of CBS. In certain perturbative regimes, we identify a marginal non-Fermi liquid (NFL) fixed point that exists intrinsically in the large-$N_B$ limit. The infinite critical bosons comprise a physical realization of the flavor degrees of freedom which has been proposed for matrix large-$N_B$ bosons.
