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Lattice regularization of massive and massless integrable field theories
High Energy Physics - Theory · Submitted 24 Sep 1993
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We show that integrable vertex and RSOS models with trigonometric Boltzmann weights and appropriate inhomogeneities provide a convenient lattice regularization for massive field theories and for the recently studied massless field theories that interpolate between two non trivial conformal field theories.
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The abstract, sentence by sentence
We show that integrable vertex and RSOS models with trigonometric Boltzmann weights and appropriate inhomogeneities provide a convenient lattice regularization for massive field theories and for the recently studied massless field theories that interpolate between two non trivial conformal field theories. Massive and massless S matrices are computed from the lattice Bethe ansatz.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We show that integrable vertex and RSOS models with trigonometric Boltzmann weights and appropriate inhomogeneities provide a convenient lattice regularization for massive field theories and for the recently studied massless field theories that interpolate between two non trivial conformal field theories. | contribution 0.87 | 0.88 | 0.81 | asserted 1.00 |
| s1 | Massive and massless S matrices are computed from the lattice Bethe ansatz. | result 0.90 | 0.88 | 0.18 | asserted 1.00 |
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The paper
Original abstract
We show that integrable vertex and RSOS models with trigonometric Boltzmann weights and appropriate inhomogeneities provide a convenient lattice regularization for massive field theories and for the recently studied massless field theories that interpolate between two non trivial conformal field theories. Massive and massless S matrices are computed from the lattice Bethe ansatz.
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How the literature uses it
3 arXiv papers cite this in 9 sentences
Papers citing it · 7 sentences without a confident label
Uses its method or tool 1 paper
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The derivation sketched in the previous paragraph and [ref] is based on the string hypothesis and a variational procedure to obtain the free-energy.
Integrable RG Flows on Topological Defect Lines in 2D Conformal Field Theories · Expectation value of line operators · 0.94
Cites it as background 1 paper
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Apart from the construction of integrable spin chains with larger unit cells [ref] inhomogeneous vertex models have been used, e.g., to formulate the Potts model as a $ℤ_2$-staggered six-vertex model [ref] , for the lattice regularization of field theories such as the principal chiral model [ref] , in the quantum transfer matrix approach to the thermodynamics of integrable models [ref] , and to study integrable perturbations of conformal field theories [ref] .
Integrable boundary conditions for staggered vertex models · Introduction · 0.93
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