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

High Energy Physics - Theory 2008-11-26 v1

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.

Keywords

Cite

@article{arxiv.0806.1883,
  title  = {On the space of quantum fields in massive two-dimensional theories},
  author = {Gesualdo Delfino},
  journal= {arXiv preprint arXiv:0806.1883},
  year   = {2008}
}

Comments

17 pages

R2 v1 2026-06-21T10:49:36.721Z