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Exact expectation values of local fields in quantum sine-Gordon model

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arxiv hep-th/9611238 v1 pith:UP7CVHOY submitted 1996-11-29 hep-th cond-matmath.QAq-alg

S. Lukyanov , A. Zamolodchikov This is my paper · ORCID
classification hep-thcond-matmath.QAq-alg
keywords expressionmodelsine-gordonexpectationfieldsvaluesagreesasymptotic
verification ladder T0 review T1 audit T2 compute T3 formal
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We propose an explicit expression for vacuum expectation values of the exponential fields in the sine-Gordon model. Our expression agrees both with semi-classical results in the sine-Gordon theory and with perturbative calculations in the Massive Thirring model. We use this expression to make new predictions about the large-distance asymptotic form of the two-point correlation function in the XXZ spin chain.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Entanglement asymmetry in the gapped XYZ spin-$\frac12$ chain

    cond-mat.stat-mech 2026-07 conditional novelty 8.0 of 10

    In the gapped XYZ chain, the Rényi entanglement asymmetry of a large interval is ½ log(πℓχzz) + log n/(2(n−1)), with χzz/M computed from sine-Gordon form factors.

  2. Variational Method in Quantum Field Theory

    hep-th 2025-11 conditional novelty 7.0 of 10

    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.

  3. Renormalon-like factorial enhancements to power expansion/OPE in a super-renormalizable 2D $O(N)$ quartic model

    hep-th 2025-02 conditional novelty 7.0 of 10

    In the 2D large-N O(N) quartic model, the large-momentum OPE of the scalar two-point function is divergent: coefficient functions and operator condensates carry n! factorial growths that cancel only off-diagonally, ne...

  4. 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.

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