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Non-integrable Quantum Field Theories as Perturbations of Certain Integrable Models

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arxiv hep-th/9603011 v1 pith:LUVMRAYC submitted 1996-03-04 hep-th cond-mat

classification hep-thcond-mat
keywords fieldintegrablemodelstheoriesmatrixmodelnon-integrableperturbations
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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 $T \sim T_c$ 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.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 234 citations worldwide. Full citation record

  1. Variational Method in Quantum Field Theory

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    A variational ansatz built from exact sinh-Gordon vacuum expectation values yields quantitative estimates of the φ⁴ ground-state energy and mass, validated by Borel resummation and truncated-space numerics.

  2. Meson mass spectrum in Ising Field Theory

    hep-th 2025-07 conditional novelty 7.0 of 10

    The authors derive exact spectral sums and WKB expansions for Bethe-Salpeter meson masses in Ising field theory and predict meson mass degeneracies at complex critical points.

  3. A Toy Model for Topological Entanglement Features in 1+1D Integrable Quantum Field Theory

    hep-th 2026-07 conditional novelty 6.0 of 10

    In the Federbush model, branch-point twist field form factors and first-order quench corrections are independent of the topological coupling λ, so Rényi entropies of the infinite-volume vacuum match two free Dirac fermions.

  4. Confinement in the three-state Potts quantum spin chain in extreme ferromagnetic limit

    cond-mat.stat-mech 2025-08 unverdicted novelty 6.0 of 10

    Perturbative study of the three-state Potts model reveals hybridization of kink excitations with bound states and analytic post-quench evolution that matches numerical simulations.

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