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A transmission matrix for a fused pair of integrable defects in the sine-Gordon model. (2010)
Journal Article
Corrigan, E., & Zambon, C. (2010). A transmission matrix for a fused pair of integrable defects in the sine-Gordon model. Journal of Physics A: Mathematical and Theoretical, 43, Article 345201. https://doi.org/10.1088/1751-8113/43/34/345201

Within the quantum sine-Gordon model a transmission matrix describing the scattering of a soliton with a fused pair of integrable defects is proposed. The result is consistent with the classical picture of scattering and highlights the differences be... Read More about A transmission matrix for a fused pair of integrable defects in the sine-Gordon model..

Integrable defects in affine Toda field theory and infinite-dimensional representations of quantum groups (2010)
Journal Article
Corrigan, E., & Zambon, C. (2010). Integrable defects in affine Toda field theory and infinite-dimensional representations of quantum groups. Nuclear Physics B, 848(3), 545-577. https://doi.org/10.1016/j.nuclphysb.2011.03.007

Transmission matrices for two types of integrable defect are calculated explicitly, first by solving directly the nonlinear transmission Yang–Baxter equations, and second by solving a linear intertwining relation between a finite-dimensional represen... Read More about Integrable defects in affine Toda field theory and infinite-dimensional representations of quantum groups.

Jump-defects in the nonlinear Schrodinger model and other non-relativistic field theories. (2005)
Journal Article
Corrigan, E., & Zambon, C. (2005). Jump-defects in the nonlinear Schrodinger model and other non-relativistic field theories. Nonlinearity, 19(6), 1447-1469. https://doi.org/10.1088/0951-7715/19/6/012

Recent work on purely transmitting 'jump-defects' in the sine-Gordon model and other relativistic field theories is extended to non-relativistic models. In all the cases investigated the defect conditions are provided by 'frozen' Bäcklund transformat... Read More about Jump-defects in the nonlinear Schrodinger model and other non-relativistic field theories..

Some aspects of jump-defects in the quantum sine-Gordon model (2005)
Journal Article
Bowcock, P., Corrigan, E., & Zambon, C. (2005). Some aspects of jump-defects in the quantum sine-Gordon model. Journal of High Energy Physics, 2005(08), Article 023. https://doi.org/10.1088/1126-6708/2005/08/023

The classical sine-Gordon model permits integrable discontinuities, or jump-defects, where the conditions relating the fields on either side of a defect are Bäcklund transformations frozen at the defect location. The purpose of this article is to exp... Read More about Some aspects of jump-defects in the quantum sine-Gordon model.

Classically integrable field theories with defects. (2004)
Journal Article
Bowcock, P., Corrigan, E., & Zambon, C. (2004). Classically integrable field theories with defects. International Journal of Modern Physics A, 19(supp02), 82-91. https://doi.org/10.1142/s0217751x04020324

Some ideas and remarks are presented concerning a possible Lagrangian approach to the study of internal boundary conditions relating integrable fields at the junction of two domains. The main example given in the article concerns single real scalar f... Read More about Classically integrable field theories with defects..

Affine Toda field theories with defects (2004)
Journal Article
Bowcock, P., Corrigan, E., & Zambon, C. (2004). Affine Toda field theories with defects. Journal of High Energy Physics, 2004(01), Article 056. https://doi.org/10.1088/1126-6708/2004/01/056

A lagrangian approach is proposed and developed to study defects within affine Toda field theories. In particular, a suitable Lax pair is constructed together with examples of conserved charges. It is found that only those models based on ar(1) data... Read More about Affine Toda field theories with defects.