Revisiting the deconfinement phase transition in SU(4) Yang-Mills theory in 2+1 dimensions

TL;DR

This study investigates the nature of the deconfinement phase transition in SU(4) Yang-Mills theory in 2+1 dimensions, revealing it to be weakly first order through extensive lattice simulations and finite-size scaling analysis.

Contribution

It provides the first detailed lattice analysis of the deconfinement transition in SU(4) Yang-Mills theory in 2+1 dimensions, establishing its weakly first order nature.

Findings

Transition is weakly first order.

Finite-size scaling consistent with first order exponents.

Latent heat extrapolated to L_h/T_c^3=0.188(17).

Abstract

In 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).