On the space of quantum fields in massive two-dimensional theories

2008/06/11 by Gesualdo Delfino · 5 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Nonlinear Waves and Solitons #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2008.07.020

published as Nucl.Phys.B807:455-470,2009 · 17 pages

arxiv created 2008/06/11 · openalex publication_date 2008/07/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For 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.

Citations

• Infinite conformal symmetry in two-dimensional quantum field theory

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