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



We calculate the deconfinement line of transitions for large N c QCD at finite temperature and chemical potential in two different regimes: weak coupling in the continuum, and, strong coupling on the lattice, working in the limit where N f is of order N c . In the first regime we extend previous weak-coupling results from one-loop perturbation theory on S 1 × S 3 to higher temperatures, where the theory reduces to a matrix model, analogous to that of Gross, Witten, and Wadia. We obtain the line of transitions that extends from the temperature-axis, where to a first approximation the transition is higher than fourth order, to the chemical potential-axis, where the transition is third order. In the second regime we use the same matrix model to obtain the deconfinement line of transitions as a function of the coupling strength and μ/T to leading order in a strong coupling expansion of lattice QCD with heavy quarks, extending previous U(N c ) results to SU(N c ). We show that in the case of zero chemical potential the result obtained for the Polyakov line from QCD on S 1 × S 3 at weak coupling reproduces the known results from the lattice strong coupling expansion, under a simple change of parameters, which is valid for sufficiently low temperatures and chemical potentials.


1/N Expansion Phase Diagram of QCD 


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Copyright information

© SISSA, Trieste, Italy 2012

Authors and Affiliations

  1. 1.Department of PhysicsSwansea UniversitySwanseaU.K.
  2. 2.University of Groningen, Centre for Theoretical PhysicsGroningenThe Netherlands

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