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arXiv · 0810.4816

A Path Integration Approach to the Correlators of XY Heisenberg Magnet and Random Walks

N. M. Bogoliubov·C. Malyshev
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Abstract

The path integral approach is used for the calculation of the correlation functions of the $XY$ Heisenberg chain. The obtained answers for the two-point correlators of the $XX$ magnet are of the determinantal form and are interpreted in terms of the generating functions for the random turns vicious walkers.

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N. M. Bogoliubov, C. Malyshev. 2008-10-27. A Path Integration Approach to the Correlators of XY Heisenberg Magnet and Random Walks. https://doi.org/10.1142/9789812837271_0074

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