A Path Integration Approach to the Correlators of XY Heisenberg Magnet and Random Walks
classification
❄️ cond-mat.stat-mech
keywords
approachcorrelatorsfunctionsheisenbergmagnetpathrandomanswers
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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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