# Space-like asymptotics of the thermal two-point functions of the XXZ spin-1/2 chain

Source: [Space-like asymptotics of the thermal two-point functions of the XXZ spin-1/2 chain](<https://www.sota2.com/research/paper/68fa47401e209131ce926aa2>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T06:14:13.599Z

Authors: F. G\\"ohmann, K.K. Kozlowski

Published: 2023-11-28T19:56:41.000Z

## Abstract

This work proposes a closed formula for the leading term of the long-distance and large-time asymptotics in a cone of the space-like regime for the transverse dynamical two-point functions of the XXZ spin 1/2 chain at finite temperatures. The result follows from a simple analysis of the thermal form factor series for dynamical correlation functions. The leading asymptotics we obtain are driven by the Bethe Ansatz data associated with the first sub-leading Eigenvalue of the quantum transfer matrix.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2311.17196>)

[PDF](<https://arxiv.org/pdf/2311.17196.pdf>)