Deconfinement in d=1: A closer look

The notion of deconfinement in two d=1 models, the Schwinger model and the Heisenberg chain, is re-examined. Both have half-asymptotic excitations (where particles and antiparticles must alternate) and also truly asymptotic particles which are half as many in number. The two kinds of particles are related by a complicated transformation. The main purpose of this note is to highlight the relationship between asymptotic and half-asymptotic particles. The relevance of our findings to higher dimensions is briefly discussed.