Meson Mass at Large Baryon Chemical Potential in Dense QCD

preprint2000arXivOpen access

Abstract

We reexamine the quark mass induced term in chiral Lagrangian in color-flavor locking phase in dense QCD, and show that the meson mass term is determined by three independent invariants under chiral-axial symmetry, and a meson mass is given in terms of the quark mass, gap, and the chemical potential by mπ2∼mq2ΔΔˉ/μ2ln⁡(μ2/Δ2)m_π^2\sim m_q^2Δ\barΔ/μ^2\ln(μ^2/Δ^2). Thus mesons become massless as μ→∞μ\to\infty.

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