TL;DR
This paper introduces a novel method combining Quantum Field Theory and fermionic bases to compute correlation functions in the XXX spin chain, enabling calculations for up to 11 sites and facilitating the derivation of exact OPE coefficients.
Contribution
The paper presents a new approach that integrates Operator Product Expansion with fermionic bases to compute correlation functions in the XXX model, extending computational capabilities.
Findings
Computed correlation functions for up to 11 sites
Guessed exact formulas for OPE coefficients from experimental data
Demonstrated the effectiveness of the combined method
Abstract
We explain a new method for finding the correlation functions for the XXX model which is based on the concepts of Operator Product Expansion of Quantum Field Theory on one hand and of fermionic bases for the XXX spin chain on the other. With this method we are able to perform computations for up to 11 lattice sites. We show that these "experimental" data allow to guess exact formulae for the OPE coefficients.
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