Deconfinement Transition in Large N Lattice Gauge Theory

Abstract

We study analytically the phase diagram of the pure $SU(N)$ lattice gauge theory at finite temperature, and we attempt to estimate the critical deconfinement temperature. We apply large $N$ techniques to the Wilson and to the Heat Kernel action, and we study the resulting models both in the strong coupling and in the weak coupling limits. Using the Heat Kernel action, we establish an interesting connection between the Douglas-Kazakov phase transition of two-dimensional QCD and the deconfining transition in $d$ dimensions. The analytic results obtained for the critical temperature compare well with Montecarlo simulations of the full theory in $(2+1)$ and in $(3+1)$ dimensions.

arXiv comment39 pages (Latex) + 4 ps-figures (using EPSF), DFTT 30/94

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Cited by in corpus (5)

• SU(N) gauge theories at large N
• Toward an analytic determination of the deconfinement temperature in SU(2) L.G.T.
• Charge Screening and Confinement in Hot 3-D QED
• Deconfinement transitions of large N QCD with chemical potential at weak and strong coupling
• Adjoint non-Abelian Coulomb gas at large N