Geodesic
Correlation functions as nests of self-avoiding paths
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 24, Tome 465 (2017), pp. 27-45

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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. 
@article{ZNSL_2017_465_a2,
     author = {N. Bogoliubov and C. Malyshev},
     title = {Correlation functions as nests of self-avoiding paths},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {27--45},
     publisher = {mathdoc},
     volume = {465},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2017_465_a2/}
}
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N. Bogoliubov; C. Malyshev. Correlation functions as nests of self-avoiding paths. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 24, Tome 465 (2017), pp. 27-45. http://geodesic.mathdoc.fr/item/ZNSL_2017_465_a2/