2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/46807Schouten's identity is used to obtain a new identity in Minkowski space. Some applications of the new identity in high-energy physics are considered, including the possibility of significant shortening of the expressions for the traces of products of ten and more Dirac gamma-matrices.6 pages, LaTeXHigh Energy Physics - Phenomenologytext