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Pseudo-differential equations, and the Bethe ansatz for the classical Lie algebras (2007)
Journal Article
Dorey, P., Dunning, C., Masoero, D., Suzuki, J., & Tateo, R. (2007). Pseudo-differential equations, and the Bethe ansatz for the classical Lie algebras. Nuclear Physics B, 772(3), 249-289. https://doi.org/10.1016/j.nuclphysb.2007.02.029

The correspondence between ordinary differential equations and Bethe ansatz equations for integrable lattice models in their continuum limits is generalised to vertex models related to classical simple Lie algebras. New families of pseudo-differentia... Read More about Pseudo-differential equations, and the Bethe ansatz for the classical Lie algebras.

A T-duality interpretation of the relationship between massive and massless magnonic TBA systems. (2006)
Journal Article
Dorey, P., & Miramontes, J. (2006). A T-duality interpretation of the relationship between massive and massless magnonic TBA systems. Journal of Statistical Mechanics: Theory and Experiment, 2006(12), Article P12016. https://doi.org/10.1088/1742-5468/2006/12/p12016

We propose an alternative understanding of the relationship between massive and massless magnonic TBA systems, using the T-duality symmetries of the Homogeneous sine–Gordon models. This is shown to be in agreement with a previous treatment by Dorey,... Read More about A T-duality interpretation of the relationship between massive and massless magnonic TBA systems..

Beyond the WKB approximation in PT-symmetric quantum mechanics (2005)
Journal Article
Dorey, P., Millican-Slater, A., & Tateo, R. (2005). Beyond the WKB approximation in PT-symmetric quantum mechanics. Journal of Physics A: Mathematical and General, 38(6), 1305-1332. https://doi.org/10.1088/0305-4470/38/6/010

The mergings of energy levels associated with the breaking of symmetry in the model of Bender and Boettcher, and in its generalization to incorporate a centrifugal term, are analysed in detail. Even though conventional WKB techniques fail, it is show... Read More about Beyond the WKB approximation in PT-symmetric quantum mechanics.

Mass scales and crossover phenomena in the homogeneous sine-Gordon models (2004)
Journal Article
Dorey, P., & Miramontes, J. L. (2004). Mass scales and crossover phenomena in the homogeneous sine-Gordon models. Nuclear Physics B, 697(3), 405-461. https://doi.org/10.1016/j.nuclphysb.2004.07.019

The finite-size behaviours of the homogeneous sine-Gordon models are analysed in detail, using the thermodynamic Bethe ansatz. Crossovers are observed which allow scales associated with both stable and unstable quantum particles to be picked up. By i... Read More about Mass scales and crossover phenomena in the homogeneous sine-Gordon models.

Integrable quantum field theory with boundaries: The exact g-function (2004)
Journal Article
Dorey, P., Fioravanti, D., Rim, C., & Tateo, R. (2004). Integrable quantum field theory with boundaries: The exact g-function. Nuclear Physics B, 696(3), 445-467. https://doi.org/10.1016/j.nuclphysb.2004.06.045

The g-function was introduced by Affleck and Ludwig in the context of critical quantum systems with boundaries. In the framework of the thermodynamic Bethe ansatz (TBA) method for relativistic scattering theories, all attempts to write an exact integ... Read More about Integrable quantum field theory with boundaries: The exact g-function.