Lifetime Effects in Color Superconductivity at Weak Coupling

Abstract

Present computations of the gap of color superconductivity in weak coupling assume that the quarks which participate in the condensation process are infinitely long-lived. However, the quasiparticles in a plasma are characterized by having a finite lifetime. In this article we take into account this fact to evaluate its effect in the computation of the color gap. By first considering the Schwinger-Dyson equations in weak coupling, when one-loop self-energy corrections are included, a general gap equation is written in terms of the spectral densities of the quasiparticles. To evaluate lifetime effects, we then model the spectral density by a Lorentzian function. We argue that the decay of the quasiparticles limits their efficiency to condense. The value of the gap at the Fermi surface is then reduced. To leading order, these lifetime effects can be taken into account by replacing the coupling constant of the gap equation by a reduced effective one.

16 pages, 2 figures; explanations on the role of the Meissner effect added; 2 references added; accepted for publication in PRD

References in corpus (8)

• Color superconductivity in weak coupling
• Gaps and Critical Temperature for Color Superconductivity
• On the Perturbative Nature of Color Superconductivity
• Debye screening and Meissner effect in a two-flavor color superconductor
• The Transition Temperature to the Superconducting Phase of QCD at High Baryon Density
• On the QCD Ground State at High Density
• Debye screening and Meissner effect in a three-flavor color superconductor
• Dispersion Relations in Ultradegenerate Relativistic Plasmas

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• Asymptotic deconfinement in high-density QCD
• How the quark self-energy affects the color-superconducting gap
• Color-superconductivity in the strong-coupling regime of Landau gauge QCD
• Gauge dependence identities for color superconducting QCD
• Structural Change of Cooper Pairs and Momentum-dependent Gap in Color Superconductivity
• Non-Fermi Liquid Effects in QCD at High Density
• Hard Loops, Soft Loops, and High Density Effective Field Theory
• Photon Self-Energy in a Color Superconductor
• Non-Fermi Liquid Aspects of Cold and Dense QED and QCD: Equilibrium and Non-Equilibrium
• How non-Fermi liquids cure their infrared divergences
• Gluon self-energy in a two-flavor color superconductor
• Angular Momentum Mixing in Crystalline Color Superconductivity
• Diquark condensation at strong coupling
• Enhanced contribution of the pairing gap to the QCD equation of state at large isospin chemical potential
• A General Effective Action for High-Density Quark Matter
• Transport theory for a two-flavor color superconductor
• The Complex Gap in Color Superconductivity
• The imaginary part of the gap function in color superconductivity
• Higher order corrections to Color superconducting gaps
• Gluon self-energy effect on CFL gap equation