Non-Abelian gauge theories of Fermi systems: Quantum-chromodynamic theory of highly condensed matter

A systematic perturbation theory for high-density quark gas is developed. The ground-state thermodynamic potential is evaluated up to the second order in the Gell-Mann-Low coupling ${\alpha }_s\mathrm{}\left(M\right)\mathrm{}$. Phenomenological analysis of the resulting equation of state suggests that the neutron-quark matter phase transition occurs at neutron matter densities $n_B<2\mathrm{}$ baryon/${\mathrm{fm}}^3$ provided $0.2<\mathrm{}{\alpha }_s\left(3\mathrm{} \mathrm{GeV}\right)<\mathrm{}0.3\mathrm{}$. The result supports the conjecture that superheavy stellar objects may exist in the quark rather than in the neutron phase. The production of quark matter in heavy-ion collisions is also discussed briefly.