Space-like asymptotics of the thermal two-point functions of the XXZ spin-1/2 chain
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866913389140246528 |
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| author | Göhmann, F. Kozlowski, K. K. |
| author_facet | Göhmann, F. Kozlowski, K. K. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_17196 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Space-like asymptotics of the thermal two-point functions of the XXZ spin-1/2 chain Göhmann, F. Kozlowski, K. K. Mathematical Physics Statistical Mechanics Exactly Solvable and Integrable Systems 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. |
| title | Space-like asymptotics of the thermal two-point functions of the XXZ spin-1/2 chain |
| topic | Mathematical Physics Statistical Mechanics Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2311.17196 |