Deconfinement transitions of large N QCD with chemical potential at weak and strong coupling
Abstract
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.
- Publication:
-
Journal of High Energy Physics
- Pub Date:
- October 2012
- DOI:
- 10.1007/JHEP10(2012)067
- arXiv:
- arXiv:1207.4605
- Bibcode:
- 2012JHEP...10..067H
- Keywords:
-
- 1/N Expansion;
- Phase Diagram of QCD;
- High Energy Physics - Theory;
- High Energy Physics - Lattice;
- High Energy Physics - Phenomenology
- E-Print:
- 29 pages, 11 figures. v2. small corrections, clarifications, reference added, JHEP version