How to Draw a Correlation Function
We discuss the connection between the 0 Heisenberg spin chain and some aspects of enumerative combinatorics. The representation of the Bethe wave functions via the Schur functions allows us to apply the theory of symmetric functions to the calculation of the correlation functions. We provide a combi...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2021 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2021
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/211421 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | How to Draw a Correlation Function. Nikolay Bogoliubov and Cyril Malyshev. SIGMA 17 (2021), 106, 35 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | We discuss the connection between the 0 Heisenberg spin chain and some aspects of enumerative combinatorics. The representation of the Bethe wave functions via the Schur functions allows us to apply the theory of symmetric functions to the calculation of the correlation functions. We provide a combinatorial derivation of the dynamical auto-correlation functions and visualise them in terms of nests of self-avoiding lattice paths. Asymptotics of the auto-correlation functions are obtained in the double scaling limit, provided that the evolution parameter is large.
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| ISSN: | 1815-0659 |