On form-factor expansions for the XXZ chain in the massive regime
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2014
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| _version_ | 1866910495951290368 |
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| author | Dugave, M. Göhmann, F. Kozlowski, K. K. Suzuki, J. |
| author_facet | Dugave, M. Göhmann, F. Kozlowski, K. K. Suzuki, J. |
| contents | We study the large-volume-$L$ limit of form factors of the longitudinal spin operators for the XXZ spin-$1/2$ chain in the massive regime. We find that the individual form factors decay as $L^{-n}$, $n$ being an even integer counting the number of physical excitations -- the holes -- that constitute the excited state. Our expression allows us to derive the form-factor expansion of two-point spin-spin correlation functions in the thermodynamic limit $L\rightarrow +\infty$. The staggered magnetisation appears naturally as the first term in this expansion. We show that all other contributions to the two-point correlation function are exponentially small in the large-distance regime. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_1412_8217 |
| institution | arXiv |
| publishDate | 2014 |
| record_format | arxiv |
| spellingShingle | On form-factor expansions for the XXZ chain in the massive regime Dugave, M. Göhmann, F. Kozlowski, K. K. Suzuki, J. Statistical Mechanics Mathematical Physics Exactly Solvable and Integrable Systems We study the large-volume-$L$ limit of form factors of the longitudinal spin operators for the XXZ spin-$1/2$ chain in the massive regime. We find that the individual form factors decay as $L^{-n}$, $n$ being an even integer counting the number of physical excitations -- the holes -- that constitute the excited state. Our expression allows us to derive the form-factor expansion of two-point spin-spin correlation functions in the thermodynamic limit $L\rightarrow +\infty$. The staggered magnetisation appears naturally as the first term in this expansion. We show that all other contributions to the two-point correlation function are exponentially small in the large-distance regime. |
| title | On form-factor expansions for the XXZ chain in the massive regime |
| topic | Statistical Mechanics Mathematical Physics Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/1412.8217 |