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Excited State Destri - De Vega Equation for Sine-Gordon and Restricted Sine-Gordon Models

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arxiv hep-th/9608091 v1 pith:7TIN5Z2G submitted 1996-08-14 hep-th

D. Fioravanti , A. Mariottini , E. Quattrini , F. Ravanini (Bologna Univ. , INFN) This is my paper · ORCID
classification hep-th
keywords sine-gordonexcitedfunctionsscalingsomestatesdestriequation
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We derive a generalization of the Destri - De Vega equation governing the scaling functions of some excited states in the Sine-Gordon theory. In particular configurations with an even number of holes and no strings are analyzed and their UV limits found to match some of the conformal dimensions of the corresponding compactified massless free boson. Quantum group reduction allows to interpret some of our results as scaling functions of excited states of Restricted Sine-Gordon theory, i.e. minimal models perturbed by phi_13 in their massive regime. In particular we are able to reconstruct the scaling functions of the off-critical deformations of all the scalar primary states on the diagonal of the Kac-table.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 173 citations worldwide. Full citation record

  1. Leading UV Formula for Finite-Volume Vertex Operator Expectation Values in the Sine-Gordon Model from Kink NLIE

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    Conjectures and numerically verifies a leading UV asymptotic formula for finite-volume vertex operator VEVs in the sine-Gordon model from kink NLIE, matching complex Liouville CFT results to 19 digits.

  2. Thermodynamics in the Sine-Gordon model: the NLIE approach

    hep-th 2025-07 conditional novelty 6.0 of 10

    A nonlinear integral equation with an imaginary twist parameter describes sine-Gordon thermodynamics with a topological chemical potential at arbitrary coupling and matches TBA.

  3. Minimal Models RG flows: non-invertible symmetries & non-perturbative description

    hep-th 2025-01 conditional novelty 6.0 of 10

    A three-parameter NLIE family is conjectured to encode exact ground-state energies for anomaly-matched RG flows between Virasoro minimal models, generalizing known integrable cases.

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