The θ-dependence of the SU(N) critical temperature at large N

We investigate, by means of numerical lattice simulations, the θ-dependence of the critical deconfinement temperature of SU(N) gauge theories at large N : T_c(θ) = T_c(0)[1 - Rθ² + O(θ⁴)], with R ~ O(1/N²). We follow two different strategies to determine R, one based on the calculation of the latent heat of the transition and on the jump of the topological susceptibility at the θ = 0 critical point, the other relying on a direct probe of T_c(θ) by means of imaginary-θ Monte Carlo simulations. Our results show that R follows the expected large-N scaling.