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

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.

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

Cited by in corpus (1)

• The Ising Limit of the XXZ Heisenberg Magnet and Certain Thermal Correlation Functions