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Hidden Grassmann structure in the XXZ model

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arxiv hep-th/0606280 v4 pith:TI4DX6OT submitted 2006-06-30 hep-th math.QA

H. Boos , M. Jimbo , T. Miwa , F. Smirnov , Y. Takeyama This is my paper · ORCID
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For the critical XXZ model, we consider the space W of operators which are products of local operators with a disorder operator. We introduce two anti-commutative family of operators b(z), c(z) which act on the space W. These operators are constructed as traces over representations of the q-oscillator algebra, in close analogy with Baxter's Q-operators. We show that the vacuum expectation values of operators in W can be expressed in terms of an exponential of a quadratic form of b(z), c(z).

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 112 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.

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