2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/169546This work develops and applies the concept of mollification in order to smooth out highly oscillatory exponentials. This idea, known for quite a while in the mathematical community (mollifiers are a means to smooth distributions), is new to numerical Quantum Field Theory. It is potentially very useful for calculating phase transitions [highly oscillatory integrands in general], for computations with imaginary chemical potentials and Lattice QFT in Minkowski spacetime.23 pages, 35 figures; check http://chep.het.brown.edu/ for high resolution figures; referees suggestions and appendix added, references streamlinedHigh Energy Physics - LatticeHigh Energy Physics - PhenomenologyComputational Physicstext