2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/149390The free field theory for Regge trajectory is described in the framework of the BRST - quantization method. The physical spectrum includes daugther trajectories along with parent one. The applicability of the BRST approach to the description of a single Regge trajectory without its daughter trajectories is discussed. The simple example illustrates the appropriately modified BRST construction for the needed second class constraints.9 pages LaTeX. The preprint number is added, the words Lagrangian and angian are replaced by the word lagrangianHigh Energy Physics - TheoryOn the BRST approach to the description of a Regge trajectorytext