Non-Fermi-liquid aspects of cold and dense QED and QCD: Equilibrium and nonequilibrium
Non-Fermi-liquid aspects of cold and dense QED and QCD: Equilibrium and nonequilibrium
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DOI：
10.1103/physrevd.63.034016
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发表时间：
2000-09
影响因子：
5
通讯作者：
D. Boyanovsky;H. Vega
中科院分区：
文献类型：
--
作者：
D. Boyanovsky;H. Vega
动态屏蔽磁胶子（光子）交换产生的红外发散导致费米液体描述冷密QCD和QED的{\em正常}状态被破坏。我们通过重整化群实现了这些散度的恢复，得到了费米表面附近单个准粒子的谱密度、色散关系、宽度和波函数重整化。我们发现所有的特征缩放与异常维度：$\omega_p({k}) \propto |k-k_F|^{\frac{1}{1-2\lambda}} ~ ; ~ \Gamma(k) \propto |k-k_F|^{\frac{1}{1-2\lambda}} ~;~ Z_p({k}) \propto |k-k_F|^{\frac{2\lambda}{1-2\lambda}}$与$\lambda = \frac{\alpha}{6\pi} ~ {for QED} \vspace{0.5 ex} ~,~ \frac{\alpha_s}{6\pi} \frac{N^2_c-1}{2N_c} \~~{for QCD with}$。准粒子分布函数在费米表面附近的不连续性消失。利用动态重整化群来实时研究准粒子的弛豫。具有费米动量的准粒子具有群速度消失和随耦合相关的反常维的幂律松弛。
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.