2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/177369The Dirac field is studied in a Lyra space-time background by means of the classical Schwinger Variational Principle. We obtain the equations of motion, establish the conservation laws, and get a scale relation relating the energy-momentum and spin tensors. Such scale relation is an intrinsic property for matter fields in Lyra background.10 pages. Some misprints correctedGeneral Relativity and Quantum CosmologyHigh Energy Physics - TheoryDifferential Geometrytext