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

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

2008-06-11

arxiv.org/abs/0806.1883v1

Nucl.Phys.B807:455-470,2009

Physics

High Energy Physics

High Energy Physics - Theory

17 pages

Scientific paper

10.1016/j.nuclphysb.2008.07.020

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.

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