2012/07/31 by Timothy J. Hollowood, Joyce C. Myers
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Coupling (piping) #Deconfinement #High-Energy Particle Collisions Research #Lattice (music) #Lattice QCD #Order (exchange) #Perturbation theory (quantum mechanics) #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #hep-lat #hep-ph #hep-th
paper · pdf · doi:10.1007/jhep10(2012)067
29 pages, 11 figures. v2. small corrections, clarifications, reference added, JHEP version
openalex publication_date 2012/10/01 · arxiv created 2012/10/09 · arxiv updated 2015/06/05 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We calculate the deconfinement line of transitions for large Nc 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 Nf is of order Nc. In the first regime we extend previous weak-coupling results from one-loop perturbation theory on S1 x S3 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 mu / T to leading order in a strong coupling expansion of lattice QCD with heavy quarks, extending previous U(Nc) results to SU(Nc). We show that in the case of zero chemical potential the result obtained for the Polyakov line from QCD on S1 x S3 at weak coupling reproduces the known results from the strong coupling expansion, under a simple change of parameters, which is valid for sufficiently low temperatures and chemical potentials.