Nearest neighbor two-point correlation function of the $Z$-invariant eight-vertex model
Michael Lashkevich, Yaroslav Pugai (Landau Institute for, Theoretical Physics, University of Melbourne)

TL;DR
This paper computes the nearest neighbor two-point correlation function of the $Z$-invariant inhomogeneous eight-vertex model in the thermodynamic limit using free field representation, providing insights into its correlation structure.
Contribution
It introduces a method to calculate the correlation function of the $Z$-invariant eight-vertex model via free field representation, advancing analytical techniques in integrable models.
Findings
Explicit expression for the two-point correlation function.
Application of free field representation to inhomogeneous models.
Enhanced understanding of correlation structures in the eight-vertex model.
Abstract
The nearest neighbor two-point correlation function of the -invariant inhomogeneous eight-vertex model in the thermodynamic limit is computed using the free field representation.
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