2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/199848In order to deepen our understanding of the nature of the deconfinement phase transition for various gauge groups, we investigate SU(4) Yang-Mills theory in 2+1 dimensions. We find that the transition is weakly first order. We perform extensive Monte Carlo simulations on lattices with temporal extent N_t = 3, 4 and 5, and spatial sizes up to N_s = 20 N_t. We observe coexistence of confined and deconfined phases at the critical temperature, and finite-size scaling shows consistency with first order exponents. The continuum extrapolation of the latent heat yields L_h/T_c^3=0.188(17).29 pages, 15 figures; v2: version published in JHEP, analysis section expandedHigh Energy Physics - LatticeRevisiting the deconfinement phase transition in SU(4) Yang-Mills theory in 2+1 dimensionstext