2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/182898In classical external gauge fields that fall off less fast than the inverse of the evolution parameter (time) of the system the implementability of a unitary perturbative scattering operator ($S$-matrix) is not guaranteed, although the field goes to zero. The importance of this point is exposed for the counter-example of low-dimensionally expanding systems. The issues of gauge invariance and of the interpretation of the evolution at intermediate times are also intricately linked to that point.8 pages, no figuresHigh Energy Physics - TheorySlowly decaying classical fields, unitarity, and gauge invariancetext