Correlation Functions as Nests of Self-Avoiding Paths
- Авторы: Bogoliubov N.1, Malyshev C.1
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Учреждения:
- St.Petersburg Department of Steklov Institute of Mathematics, ITMO University
- Выпуск: Том 238, № 6 (2019)
- Страницы: 779-792
- Раздел: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242603
- DOI: https://doi.org/10.1007/s10958-019-04275-0
- ID: 242603
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Аннотация
We discuss a connection between the XXZ Heisenberg spin chain in the limiting case of zero anisotropy and some aspects of enumerative combinatorics. The representation of the Bethe wave functions in terms of Schur functions allows us to apply the theory of symmetric functions to calculating correlation functions. We provide a combinatorial derivation of the dynamical correlation functions of the projection operator in terms of nests of self-avoiding lattice paths.
Об авторах
N. Bogoliubov
St.Petersburg Department of Steklov Institute of Mathematics, ITMO University
Автор, ответственный за переписку.
Email: bogoliub@yahoo.com
Россия, St.Petersburg
C. Malyshev
St.Petersburg Department of Steklov Institute of Mathematics, ITMO University
Email: bogoliub@yahoo.com
Россия, St.Petersburg