Exchange statistics in 1D: from the viewpoint of exact solution

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We show that the exchange statistics have consequences in 1D systems with compact topology, contrary to the common opinion that exchange statistics is arbitrary in 1D. As examples of non-trivial statistical behavior we exactly calculate the partition function and correlators for systems of free q-particles on compactified chains using functional integral techniques and the supersymmetric trick. In particular we consider a spin 1/2 XY-chain with periodic boundary conditions that corresponds to the case of q=-1.
A few formulae are corrected. A new formula for the generation function is added

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High Energy Physics - Theory, Condensed Matter, Quantum Algebra

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http://salesiana.dossiersoluciones.com/handle/123456789/149202

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/hep-th/9504038
 http://arxiv.org/abs/hep-th/9504038

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arXiv