Fermionic excitation in quark matter

We discuss the fermionic excitation spectra of the dense QCD and QED plasma at zero temperature, and analyze the stability of the normal (perturbative) ground state. The standard re-summed perturbation theory breaks down because the infrared (IR) divergences show up in the spectra near the Fermi surface. We employ the effective field theory approach and the renormalization group to investigate the dynamics near the Fermi surface. Our results indicate that the dense QCD and QED plasma are non-Fermi-liquids.