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Zapiski Nauchnykh Seminarov POMI, 2017, Volume 465, Pages 27–45 (Mi znsl6529)  
This article is cited in 3 scientific papers (total in 3 papers)

Correlation functions as nests of self-avoiding paths

N. Bogoliubovab, C. Malyshevab

a St. Petersburg Department of Steklov Institute of Mathematics, RAS, Russia
b ITMO University, Russia
Full-text PDF (255 kB) Citations (3)
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Abstract: We discuss 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 via the Schur functions allows to apply the theory of symmetric functions to calculation of the 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.
Key words and phrases: Heisenberg spin chain, correlation functions, enumerative combinatorics, Schur functions.
Funding agency Grant number
Russian Science Foundation 16-11-10218
The work was supported by Russian Science Foundation (grant no. 16-11-10218).
Received: 06.12.2017
English version:
Journal of Mathematical Sciences (New York), 2019, Volume 238, Issue 6, Pages 779–792
DOI: https://doi.org/10.1007/s10958-019-04275-0
Document Type: Article
UDC: 517.9
Language: English
Citation: N. Bogoliubov, C. Malyshev, “Correlation functions as nests of self-avoiding paths”, Questions of quantum field theory and statistical physics. Part 24, Zap. Nauchn. Sem. POMI, 465, POMI, St. Petersburg, 2017, 27–45; J. Math. Sci. (N. Y.), 238:6 (2019), 779–792
Citation in format AMSBIB
\Bibitem{BogMal17}
\by N.~Bogoliubov, C.~Malyshev
\paper Correlation functions as nests of self-avoiding paths
\inbook Questions of quantum field theory and statistical physics. Part~24
\serial Zap. Nauchn. Sem. POMI
\yr 2017
\vol 465
\pages 27--45
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6529}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2019
\vol 238
\issue 6
\pages 779--792
\crossref{https://doi.org/10.1007/s10958-019-04275-0}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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