Sum Rules in the CFL Phase of QCD at finite density

Abstract

We study the asymmetry between the vector current and axial-vector current correlators in the colour-flavour locking (CFL) phase of QCD at finite density. Using Weinberg's sum rules, we compute the decay constant $f_{\pi }$ of the Goldstone modes and find agreement with previous derivations. Using Das's sum rule, we also estimate the contribution of electromagnetic interactions to the mass of the charged modes. Finally, we comment on low temperature corrections to the effective field theory describing the Goldstone bosons.

13 pages, revtex, using epsfig. Typo in reference corrected

References in corpus (7)

• Inverse meson mass ordering in color-flavor-locking phase of high density QCD: erratum
• Meson Masses in High Density QCD
• Masses of the Goldstone modes in the CFL phase of QCD at finite density
• Debye screening and Meissner effect in a three-flavor color superconductor
• Dispersion Laws for Goldstone Bosons in a Color Superconductor
• Meson Mass at Large Baryon Chemical Potential in Dense QCD
• Radiative mass in QCD at high density

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• Photon Self-Energy in a Color Superconductor
• Drum vortons in high density QCD
• Optically opaque color-flavor locked phase inside compact stars
• Neutrino processes in the $K^0$ condensed phase of color flavor locked quark matter
• Photon and dilepton emission rates from high density quark matter
• Charged kaon condensation in high density quark matter
• Illuminating Dense Quark Matter
• Duality in the Color Flavor Locked Spectrum
• Mixed Kaon Condensation in CFL Matter
• Pion superfluid phase transition at finite isospin chemical potential