Non-integrable quantum field theories as perturbations of certain integrable models

1996/03/04 by Gesualdo Delfino, G. Delfino, Giuseppe Mussardo +2 · 9 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Geometry #Hamiltonian (control theory) #Integrable system #Ising model #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Physics #Quantum #Quantum field theory #Quantum mechanics #Scaling #Statistical physics #Theoretical physics #cond-mat #hep-th

paper · pdf · doi:10.1016/0550-3213(96)00265-9

published as Nucl.Phys.B473:469-508,1996 · 60 pages, latex, 9 figures

arxiv created 1996/03/04 · openalex publication_date 1996/08/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We approach the study of non--integrable models of two--dimensional quantum field theory as perturbations of the integrable ones. By exploiting the knowledge of the exact S-matrix and Form Factors of the integrable field theories we obtain the first order corrections to the mass ratios, the vacuum energy density and the S-matrix of the non-integrable theories. As interesting applications of the formalism, we study the scaling region of the Ising model in an external magnetic field at T ∼ T_c and the scaling region around the minimal model M_2,7. For these models, a remarkable agreement is observed between the theoretical predictions and the data extracted by a numerical diagonalization of their Hamiltonian.

Citations

• Off-critical statistical models: Factorized scattering theories and bootstrap program
• Spin-spin correlation functions for the two-dimensional Ising model: Exact theory in the scaling region
• Free field representation for the classical limit of the quantum affine algebra
• Infinite conformal symmetry in two-dimensional quantum field theory
• Factorized S-matrices in two dimensions as the exact solutions of certain relativistic quantum field theory models

Cited by

• Integrable Floquet QFT: Elasticity and factorization under periodic driving
• Confinement in the q-state Potts field theory
• Fine-grained dynamics of entanglement in non-integrable quenches far across the Ising quantum critical point
• Quantum anomalies in A(1) r Toda theories with defects
• Quantum Criticality in an Ising Chain: Experimental Evidence for Emergent E 8 Symmetry
• Mass Spectrum of the Two-Dimensional O(3) Sigma Model with aθTerm
• The particle spectrum of the tricritical Ising model with spin reversal symmetric perturbations
• Periodically driven perturbed CFTs: the sine-Gordon model
• Mass generation in perturbed massless integrable models