Low Energy Dynamics in Ultradegenerate QCD Matter

Abstract

We study the low energy behavior of QCD Green functions in the limit that the baryon chemical potential is much larger than the QCD scale parameter ${\Lambda }_{Q}CD$. We show that there is a systematic low energy expansion in powers of $(\omega /m{)}^{1/3}$, where $\omega$ is the energy and $m$ is the screening scale. This expansion is valid even if the effective quark-gluon coupling $g$ is not small. The expansion is purely perturbative in the magnetic regime $|\vec{k}|\gg k_0$. If the external momenta and energies satisfy $k_0\sim |\vec{k}|$, planar, abelian ladder diagrams involving the full quark propagator have to be resummed but the corresponding Dyson-Schwinger equations are closed.

4 pages, published version

References in corpus (18)

• Superconductivity by long-range color magnetic interaction in high-density quark matter
• Low Energy Dynamics of the Spinon-Gauge System
• Superconductivity from perturbative one-gluon exchange in high density quark matter
• Color superconductivity in weak coupling
• Renormalization Group Approach to Low Temperature Properties of a Non-Fermi Liquid Metal
• Effective Theory for Color-Flavor Locking in high Density QCD
• Schwinger-Dyson Approach to Color Superconductivity in Dense QCD
• An effective field theory of QCD at high density
• Hard Dense Loops in a Cold Non-Abelian Plasma
• Non-Fermi Liquid Behaviour, the BRST Identity in the Dense Quark-Gluon Plasma and Color Superconductivity
• Non-Fermi Liquid Effects in QCD at High Density
• Neutrino Emission from Ungapped Quark Matter
• Hard Loops, Soft Loops, and High Density Effective Field Theory
• Dispersion Relations in Ultradegenerate Relativistic Plasmas
• Anomalous specific heat in high-density QED and QCD
• Fermionic dispersion relations in ultradegenerate relativistic plasmas beyond leading logarithmic order
• Damping rates of hard momentum particles in a cold ultrarelativistic plasma
• A General Effective Action for High-Density Quark Matter

Cited by in corpus (12)

• Color superconductivity in dense quark matter
• Quantum phase transitions of metals in two spatial dimensions: II. Spin density wave order
• The quark-gluon vertex in Landau gauge QCD: Its role in dynamical chiral symmetry breaking and quark confinement
• Fluctuating spin density waves in metals
• Infrared singularities in Landau gauge Yang-Mills theory
• Higgs criticality in a two-dimensional metal
• Strange Metals in One Spatial Dimension
• Fermi liquid theory: A brief survey in memory of Gerald E. Brown
• The Complex Gap in Color Superconductivity
• Non-Fermi-liquid effect in magnetic susceptibility
• Effective Theories of Dense and Very Dense Matter
• An Abelian Ward identity and the vertex corrections to the color superconducting gap