On the deconfining transition of SU(infinite) gauge theory

Monte Carlo simulations for twisted Eguchi-Kawai models with asymmetric couplings have been used to investigate the large-N deconfining phase transition of pure SU(N) gauge theories. Data with N=25, 36, 49 and 64 and the variable asymmetry parameter xi allow us to disentangle these theories' bulk first-order transition from their physical deconfining transition. The SU(64) data is in good agreement with asymptotic freedom and gives a critical temperature of Tsub(c)/Λsub(E) = 118 +- 6 or Tsub(c)/√sigma = 0.42 + 0.05, which is close to the SU(3) ratio of deconfining temperature to the string tension. The data also suggest that the transition is first order. (orig.)