2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/203937For a large class of integrable quantum field theories we show that the S-matrix determines a space of fields which decomposes into subspaces labeled, besides the charge and spin indices, by an integer k. For scalar fields k is non-negative and is naturally identified as an off-critical extension of the conformal level. To each particle we associate an operator acting in the space of fields whose eigenvectors are primary (k=0) fields of the massive theory. We discuss how the existing results for models as different as Z_n, sine-Gordon or Ising with magnetic field fit into this classification.17 pagesHigh Energy Physics - Theorytext