Correlation functions of the XYZ model with a boundary
Yuji Hara (University of Tokyo)
TL;DR
This paper derives integral formulas for boundary correlation functions in the XYZ model by mapping it to a bosonized boundary SOS model, confirming previous results for diagonal boundary conditions.
Contribution
It introduces a new integral formula approach for XYZ boundary correlations using bosonization and boundary SOS model mapping, extending previous methods.
Findings
Derived integral formulas for boundary correlation functions.
Reproduced known one-point functions for diagonal boundary conditions.
Connected XYZ model boundary correlations with boundary SOS model.
Abstract
Integral formulae for the correlation functions of the XYZ model with a boundary are calculated by mapping the model to the bosonized boundary SOS model. The boundary K-matrix considered here coincides with the known general solution of the boundary Yang-Baxter equation. For the case of diagonal K-matrix, our formulae reproduce the one-point function previously obtained by solving boundary version of quantum Knizhnik-Zamolodchikov equation.
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