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

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

2008-10-27

arxiv.org/abs/0810.4816v1

Path Integrals: New Trends and Perspectives. Proceedings of the 9th International Conference (Dresden, Germany, September 23-2

Physics

Condensed Matter

Statistical Mechanics

Proceedings of the 9th International Conference "Path Integrals - New Trends and Perspectives", 6 pages, LaTeX

Scientific paper

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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