An electric arc furnace is provided for the production of steel by melting metal between electrodes. The electric arc furnace comprises gas injectors provided with respective cooling chambers placed in a wall of the furnace, wherein at least one single chamber is associated with at least two injectors in order to cool each injector. Each injector is angled in a manner appropriate with respect to a corresponding gas injected thereby and to a corresponding function thereof, wherein the orientation axes of the injectors are not parallel.