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The Dirac field is studied in a Lyra space-time background by means of theclassical Schwinger Variational Principle. We obtain the equations of motion,establish the conservation laws, and get a scale relation relating theenergy-momentum and spin tensors. Such scale relation is an intrinsic propertyfor matter fields in Lyra background.Comment: 10 pages. Some misprints correcte

Spinorial Field and Lyra Geometry