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

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.

17 pages

References in corpus (19)

• On the Operator Content of the Sinh-Gordon Model
• Asymptotic factorisation of form factors in two-dimensional quantum field theory
• The Spin-Spin Correlation Function in the Two-Dimensional Ising Model in a Magnetic Field at $T=T_c$
• Form-factors of exponential fields in the sine-Gordon model
• Integrable field theory and critical phenomena. The Ising model in a magnetic field
• Universal amplitude ratios in the two-dimensional $q$-state Potts model and percolation from quantum field theory
• Form factors of soliton-creating operators in the sine-Gordon model
• Decay of particles above threshold in the Ising field theory with magnetic field
• Correlation Functions in the Two-dimensional Ising Model in a Magnetic Field at $T=T_c$
• Critical amplitudes and mass spectrum of the 2D Ising model in a magnetic field
• Form-Factor Bootstrap and the Operator Content of Perturbed Minimal Models
• Form-factors of exponential fields in the affine A^{(1)}_{N-1} Toda model
• Exact form factors in integrable quantum field theories: the scaling Z(N)-Ising model
• Matrix elements of the operator T\bar{T} in integrable quantum field theory
• On the Form Factors of Relevant Operators and their Cluster Property
• Isomorphism of critical and off-critical operator spaces in two-dimensional quantum field theory
• On scaling fields in $Z_N$ Ising models
• Form factors of descendant operators in the massive Lee-Yang model
• Construction and clustering properties of the 2-d non-linear sigma-model form factors: O(3), O(4), large n examples

Cited by in corpus (13)

• Form factor expansion for thermal correlators
• On three-point connectivity in two-dimensional percolation
• Quantum quenches with integrable pre-quench dynamics
• Antiperiodic dynamical 6-vertex model I: Complete spectrum by SOV, matrix elements of the identity on separate states and connections to the periodic 8-vertex model
• Form factors and complete spectrum of XXX antiperiodic higher spin chains by quantum separation of variables
• Parafermionic excitations and critical exponents of random cluster and O(n) models
• Classifying Potts critical lines
• Fields, particles and universality in two dimensions
• Bethe Ansatz Matrix Elements as Non-Relativistic Limits of Form Factors of Quantum Field Theory
• Universal amplitude ratios of two-dimensional percolation from field theory
• On superuniversality in the $q$-state Potts model with quenched disorder
• Critical lines in the pure and disordered $O(N)$ model
• Paths and partitions: combinatorial descriptions of the parafermionic states