A percolation transition in Yang-Mills matter at finite number of colours

Details A percolation transition in Yang-Mills matter at finite number of colours A percolation transition in Yang-Mills matter at finite number of colours

2011-03-24

arxiv.org/abs/1103.4824v2

Phys. Rev. Lett. 107, 152301 (2011)

Physics

Nuclear Physics

Nuclear Theory

Accepted for publication, Physical Review Letters. Title changed from original, "Quarkyonic percolation at finite number of co

Scientific paper

We examine baryonic matter at quark chemical potential of the order of the confinement scale, $\mu_q\sim \lqcd$. In this regime, quarks are supposed to be confined but baryons are close to the ``tightly packed limit'' where they nearly overlap in configuration space. We show that this system will exhibit a percolation phase transition {\em when varied in the number of colours} $N_c$: at high $N_c$, large distance correlations at quark level are possible even if the quarks are essentially confined. At low $N_c$, this does not happen. We discuss the relevance of this for dense nuclear matter, and argue that our results suggest a new ``phase transition'', varying $N_c$ at constant $\mu_q$.

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