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Spectrum of a duality-twisted Ising quantum chain

Grimm, Uwe (2002). Spectrum of a duality-twisted Ising quantum chain. Journal of Physics A: Mathematical and General, 35(3) L25-L30.

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The Ising quantum chain with a peculiar twisted boundary condition is considered. This boundary condition, first introduced in the framework of the spin-1/2 XXZ Heisenberg quantum chain, is related to the duality transformation, which becomes a symmetry of the model at the critical point. Thus, at the critical point, the Ising quantum chain with the duality-twisted boundary is translationally invariant, as in the case of the usual periodic or antiperiodic boundary conditions. The complete energy spectrum of the Ising quantum chain is calculated analytically for finite systems, and the conformal properties of the scaling limit are investigated. This provides an explicit example of a conformal twisted boundary condition and a corresponding generalized twisted partition function.

Item Type: Journal Article
ISSN: 1751-8121
Extra Information: Letter to the Editor
Preprint version hep-th/0111157 avalilable at
Academic Unit/Department: Mathematics, Computing and Technology > Mathematics and Statistics
Item ID: 1146
Depositing User: Uwe Grimm
Date Deposited: 09 Jun 2006
Last Modified: 04 Dec 2010 15:26
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