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

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dc.creatorIlinski
dc.creatorKalinin, G. V.
dc.creatorKapitonov, V. S.
dc.date1995-04-07
dc.date1995-09-08
dc.date.accessioned2026-07-07T09:03:57Z
dc.date.available2026-07-07T09:03:57Z
dc.descriptionWe 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.
dc.descriptionA few formulae are corrected. A new formula for the generation function is added
dc.identifierhttps://arxiv.org/abs/hep-th/9504038
dc.identifierhttp://arxiv.org/abs/hep-th/9504038
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/149202
dc.subjectHigh Energy Physics - Theory
dc.subjectCondensed Matter
dc.subjectQuantum Algebra
dc.titleExchange statistics in 1D: from the viewpoint of exact solution
dc.typetext

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