How to Draw a Correlation Function

@article{Bogoliubov2021HowTD,
  title={How to Draw a Correlation Function},
  author={Nikolay Bogoliubov and Cyril Malyshev},
  journal={Symmetry, Integrability and Geometry: Methods and Applications},
  year={2021}
}
  • N. Bogoliubov, C. Malyshev
  • Published 9 December 2021
  • Mathematics, Physics
  • Symmetry, Integrability and Geometry: Methods and Applications
We discuss connection between the XX0 Heisenberg spin chain 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 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… 

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TLDR
The first result is that the correlation functions of the Schur process are determinants with a kernel that has a nice contour integral representation in terms of the parameters of the process.
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