标题： Infinite critical boson induced non-Fermi liquid in $d=3-ε$ dimensions 显示英文标题

标题： Infinite critical boson induced non-Fermi liquid in $d=3-ε$ dimensions

摘要： 我们研究在量子相变附近的$d=3-\epsilon$空间维数中的费米子-玻色子耦合系统；位于球面上的无限多玻色子模式同时变得临界，这被称为“临界玻色子球”(CBS)。 费米面上的费米子在低能极限下可以被散射到位于玻色子环上的附近点。 玻色子散射通道数$N_{B}$也是无限的，这使得著名的朗道阻尼效应大大被抑制。 通过渐近$\epsilon$展开进行了一循环重整化群分析。 我们发现费米子自能和 Yukawa 相互作用顶点被$\epsilon$极点所修饰；此外，由于 CBS 的曲率效应出现增强。 在某些微扰区域中，我们识别出一个固有的大-$N_B$极限下的临界非费米液体（NFL）固定点。 无限多的临界玻色子构成了对矩阵大-$N_B$玻色子所提出的味度自由度的物理实现。 显示英文摘要

摘要： We study the fermion-boson coupled system in $d=3-\epsilon$ 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 $\epsilon$-expansion. We find that the fermion self-energy and Yukawa interaction vertex are dressed with $\epsilon$ 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.