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Meson Supercurrent State in High Density QCD

Thomas Schaefer
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Abstract

We study the effect of a non-zero strange quark mass on the color-flavor-locked (CFL) phase of high density quark matter. We have previously shown that for a strange quark mass $m_s\sim m_u^{1/3}Δ^{2/3}$ the CFL state becomes unstable toward the formation of a neutral kaon condensate. Recently, several authors discovered that for $m_s\sim (2Δp_F)^{1/2}$ the CFL state contains gapless fermions, and that the gapless modes lead to an instability in current-current correlation functions. Using an effective theory of the CFL state we demonstrate that this instability is resolved by the formation of an inhomogeneous meson condensate, analogous to Migdal's p-wave pion condensate. This state has a non-zero meson current which is canceled by a backflow of gapless fermions.

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Thomas Schaefer. 2006-01-24. Meson Supercurrent State in High Density QCD. https://doi.org/10.1103/physrevlett.96.012305

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