Overview of large N QCD with chemical potential at weak and strong coupling

Timothy J. Hollowood, Joyce C Myers

Abstract

In this note we summarize the results from a longer article on obtaining the QCD phase diagram as a function of the temperature and chemical potential at large Nc and large Nf in the weak coupling limit λ 0, and the strong coupling limit λ. The weak coupling phase diagram is obtained from the Polyakov line order parameter, and the quark number, calculated using 1-loop perturbation theory for QCD formulated on S1 × S3. The strong coupling phase diagram is obtained from the same observables calculated at leading order in the lattice strong coupling and hopping parameter expansions. We show that the matrix models in these two limits agree at temperatures and chemical potentials which are not too high, such that observables in the strongly-coupled theory can be obtained from the observables in the weakly-coupled theory, and vice versa, using a simple transformation of variables.

Original languageEnglish
Article number012028
Book seriesJournal of Physics: Conference Series (Online)
Volume432
Issue number1
Pages (from-to)1-5
Number of pages5
ISSN1742-6588
DOIs
Publication statusPublished - 2013

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