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

By Stefano Lottini and Giorgio Torrieri

Abstract

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 $\mu_q$.Comment: Accepted for publication, Physical Review Letters. Title changed from original, "Quarkyonic percolation at finite number of colors", at the request of the edito

Topics: Nuclear Theory, High Energy Physics - Lattice, High Energy Physics - Phenomenology, High Energy Physics - Theory
Year: 2011
DOI identifier: 10.1103/PhysRevLett.107.152301
OAI identifier: oai:arXiv.org:1103.4824
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