Large distance asymptotic behavior of the emptiness formation probability of the XXZ spin-1/2 Heisenberg chain
N. Kitanine, J. M. Maillet, N. A. Slavnov, V. Terras

TL;DR
This paper analyzes the large-distance asymptotic behavior of the emptiness formation probability in the massless XXZ spin-1/2 Heisenberg chain using multiple integral representations.
Contribution
It provides a detailed asymptotic analysis of the emptiness formation probability in the massless regime of the XXZ chain, advancing understanding of its long-range correlations.
Findings
Derived explicit asymptotic formulas for the emptiness formation probability
Identified the decay rate and oscillatory behavior at large distances
Enhanced the theoretical understanding of correlation functions in integrable models
Abstract
Using its multiple integral representation, we compute the large distance asymptotic behavior of the emptiness formation probability of the XXZ spin-1/2 Heisenberg chain in the massless regime.
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