2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/53000In this diploma thesis vector field is constructed on $R \times S^3$. The free lagrangian on the curved space is invariant under conformal transformations of the dynamical field $A_m(x)$. The gauge fixing term is not conformally invariant, but it is invariant under Poincare transformations of the fields $A_m(x)$. Propagator quantisation is carried out. The energy spectrum of the physical subspace is analogous to the spectrum of flat quantum field theory.50 pages, Diploma thesisHigh Energy Physics - TheoryThe conformally invariant vector field on $R \times S^3$text