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

Abstract

We examine baryonic matter at quark chemical potential of the order of the confinement scale, $μ_q\sim \lqcd$. 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 ${\mu }_q$.

Accepted for publication, Physical Review Letters. Title changed from original, "Quarkyonic percolation at finite number of colors", at the request of the editor

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• Casimir scaling and renormalization of Polyakov loops in large-N gauge theories
• Introductory lectures to large-N QCD phenomenology and lattice results
• A (1+1) dimensional example of Quarkyonic matter
• QCD in the heavy dense regime for general $N_c$: On the existence of quarkyonic matter
• No-Go Theorem for Critical Phenomena in Large-Nc QCD
• Viscosity of an ideal relativistic quantum fluid: A perturbative study
• Sign problem and phase quenching in finite-density QCD: models, holography, and lattice
• The fate of the critical endpoint at large $N_c$
• Recent results in large-N lattice gauge theories
• Holographic Nuclear Physics with Massive Quarks
• Photon Signals from Quarkyonic Matter
• Quarkyonic Percolation and deconfinement at finite density and number of colors
• Neutron stars in the large-$N_c$ limit
• Phenomenology of quarkyonic percolation at FAIR