2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/55654We study the operator product expansion (OPE) of the auxiliary scalar field λ(x) with itself, in the conformally invariant O(N) Vector Model for 2<d<4, to leading order in 1/N in a strip-like geometry with one finite dimension of length L. We show that consistency of the finite-geometry OPE with bulk OPE calculations requires the physical conditions of, either finite-size scaling at criticality, or finite-temperature phase transition.4 pages, 2 eps figures, work presented at the 5th International Workshop on Thermal Field Theories and Their Applications, Regensburg, Germany, August 10-14, 1998High Energy Physics - TheoryStatistical MechanicsHigh Energy Physics - Phenomenologytext