2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/185525For a class of system, the potential of whose Bosonic Hamiltonian has a Fourier representation in the sense of tempered distributions, we calculate the Gaussian effective potential within the framework of functional integral formalism. We show that the Coleman's normal-ordering prescription can be formally generalized to the functional integral formalism.6 pages, revtex; With derivation details and an example added. To appear in J. Phys. AHigh Energy Physics - Theorytext