2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/19982We demonstrate that the notion of spin-charge separation as follows from the Tomonaga-Luttinger theory of relativistic fermions does not suffice to completely specify the Luttinger liquid state associated with the fermions of condensed matter physics. The latter carries in addition a form of topological order which can be made visible using non-local correlation functions familiar from lattice gauge theory.4 pages, 2 figuresStrongly Correlated ElectronsGeometry and topological order in the non-relativistic Luttinger liquidtext