CFL Phase of High Density QCD at Non Zero Strange Quark Mass

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We compute free energy of quark matter at asymptotically high baryon number density in the presence of non zero strange quark mass including dynamics of pseudo Nambu-Goldstone bosons due to chiral symmetry breaking, extending previously existing analysis based on perturbative expansion in $m_s^2/4μΔ.$ We demonstrate that the CFL$K^0$ state has lower free energy than the symmetric CFL state for $0<m_s^2/4μΔ<2/3$. We also calculate the spectrum of the fermionic quasiparticle excitations about the kaon condensed ground state in the regime $m_s^2/4μΔ\sim 1$ and find that $(m_s^2/4μΔ)_{crit}=2/3$ for the CFL-gCFL phase transition, the leading order result reported in [1], is not modified.
16 pages, 3 figures

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