标题： 冷密QED和QCD的非费米液体特性：平衡与非平衡 显示英文标题

标题： Non-Fermi Liquid Aspects of Cold and Dense QED and QCD: Equilibrium and Non-Equilibrium

摘要： 红外发散来自于动态屏蔽的磁性胶子（光子）的交换，导致冷密QCD和QED的{\em 正常}态的费米液体描述失效。我们通过重整化群对这些发散进行重求和，以得到费米面附近单准粒子的谱密度、色散关系、宽度和波函数重整化。我们发现所有特征均具有异常维度标度：$\omega_p({k}) \propto |k-k_F|^{\frac{1}{1-2\lambda}} ~ ; ~ \Gamma(k) \propto |k-k_F|^{\frac{1}{1-2\lambda}} ~;~ Z_p({k}) \propto |k-k_F|^{\frac{2\lambda}{1-2\lambda}}$随$\lambda = \frac{\alpha}{6\pi} ~ {for QED} \vspace{0.5 ex} ~,~ \frac{\alpha_s}{6\pi} \frac{N^2_c-1}{2N_c} \~~{for QCD with}$标度。费米面附近准粒子的分布函数不连续性消失。动力学重整化群被用于研究准粒子在实时间尺度上的弛豫。具有费米动量的准粒子具有零群速度，并以依赖于耦合常数的异常维度幂律形式弛豫。 显示英文摘要

摘要： Infrared divergences from the exchange of dynamically screened magnetic gluons (photons) lead to the breakdown of the Fermi liquid description of the {\em normal} state of cold and dense QCD and QED. We implement a resummation of these divergences via the renormalization group to obtain the spectral density, dispersion relation, widths and wave function renormalization of single quasiparticles near the Fermi surface. We find that all feature scaling with anomalous dimensions: $\omega_p({k}) \propto |k-k_F|^{\frac{1}{1-2\lambda}} ~ ; ~ \Gamma(k) \propto |k-k_F|^{\frac{1}{1-2\lambda}} ~;~ Z_p({k}) \propto |k-k_F|^{\frac{2\lambda}{1-2\lambda}}$ with $\lambda = \frac{\alpha}{6\pi} ~ {for QED} \vspace{0.5 ex} ~,~ \frac{\alpha_s}{6\pi} \frac{N^2_c-1}{2N_c} \~~{for QCD with}$. The discontinuity of the distribution function for quasiparticles near the Fermi surface vanishes. The dynamical renormalization group is implemented to study the relaxation of quasiparticles in real time. Quasiparticles with Fermi momentum have vanishing group velocity and relax with a power law with a coupling dependent anomalous dimension.