A Pedagogical Discussion of Quarkyonic Matter and Its Implication for Neutron Stars

This paper is a brief pedagogical review of the ideas that motivate the concept of Quarkyonic Matter. If Nc is the number of quark colors, baryonic matter at very high density and low temperature remains confining to density scales of the order of N$3/2\atop{c}$ Λ$3\atop{QCD}$ that is parametrically larger than that of the QCD scale Λ$3\atop{QCD}$. This implies that a description of nuclear matter will involve both quark and confined degrees of freedom. I argue that the equation of state of Quarkyonic Matter should be very hard, and the sound velocity should rise very rapidly from its small value at nuclear matter densities to a value of the order of 1 at a few times nuclear matter density.