摘要

Thermal QCD equations of state at high baryon density are sensitive to the phase structure and the resulting excitation modes. The leading contribution at low temperature can be either similar to p(F)(2)T(2) (p(F): quark Fermi momentum; T: temperature) for phases with gapless quarks, or similar to T-4 for phases with gapped quarks. In the latter the thermal pressure is dominated by collective modes. Starting with a schematic quark model developed for neutron star structure, we estimate the thermal contributions and zero point energy from the Nambu-Goldstone modes by building them upon the mean field background for the color-flavor-locked quark matter. Applying the phase shift representation for thermodynamic potentials, we include not only the bound state pairs but also resonating pairs. According to the Levinson's theorem, the high energy contributions tend to cancel the pole contributions to the thermodynamics, tempering the UV behaviors in the zero point energy. Our primary target in this talk is the domain with baryon density n(B) as large as similar to 5 - 10(n0) (n(0) similar or equal to 0.16 fm(-3): nuclear saturation density), and the temperature T of the order similar to 30 - 100 MeV. The insights into this domain may be obtained through the future detection of gravitational waves from neutron star merging events.