Charge neutrality of the color-flavor locked phase from the low energy effective theory

We investigate the issue of charge neutrality of the CFLK⁰ phase of dense quark matter using the low energy effective theory of high density QCD. We show that the local electric and color charge neutrality of the ground state in a homogeneous color superconducting medium follows from its dynamics. We also consider the situation of a spatially inhomogeneous medium, such as may be found in a neutron star core. We find that spatial inhomogeneity results in the generation of electric fields, and positrons and/or electrons may be present in the ground state. We estimate the concentration of charged leptons in the ground state to be n_e∼10²cm^-3 and consider their influence on the opacity of the medium with respect to the modified photons.