2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/50243Several pieces of evidence have been recently brought up in favour of the c-theorem in four and higher dimensions, but a solid proof is still lacking. We present two basic results which could be useful for this search: i) the values of the putative c-number for free field theories in any even dimension, which illustrate some properties of this number; ii) the general form of three-point function of the stress tensor in four dimensions, which shows some physical consequences of the c-number and of the other trace-anomaly numbers.Latex, 7 pages, 1 tableHigh Energy Physics - Theorytext