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We study the deconfining transition of SU (N) gauge theories in 2+1 dimensions for N ranging between N=2 and N=8. We confirm that the transition is second order for N4. For the more delicate case of SU (4) all our evidence points to the transition being weakly first order. After extrapolating to the continuum limit, we obtain a deconfining temperature that can be well fitted by Tc/sqrt (sigma) = 0. 9026 (23) + 0. 880 (43) /N² for all N.
Liddle et al. (Fri,) studied this question.