2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/214101Thermodynamic equivalence between classical many-body system and some auxiliary nonlinear auxiliary field is proved. Connection between Hamiltonians of the many-body system and the auxiliary field is derived.7 pages. PACS 05.20.-y, 05.70.Ce, 03.50.KkStatistical MechanicsField theoretical representation of classical statistical mechanics. I. Wave-vector spacetext