2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/89197We discuss elementary entwiners that cross-weave the variables of certain integrable models: Liouville, sine-Gordon, and sinh-Gordon field theories in two-dimensional spacetime, and their quantum mechanical reductions. First we define a complex time parameter that varies from one energy-shell to another. Then we explain how field propagators can be simply expressed in terms of elementary functions through the combination of an evolution in this complex time and a duality transformation.10 pp Scientific Workplace LatexQuantum PhysicsHigh Energy Physics - PhenomenologyHigh Energy Physics - Theorytext