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- Publications
- Influence
A new class of integrable defects
- E. Corrigan, C. Zambon
- Mathematics, Physics
- 21 August 2009
An alternative Lagrangian definition of an integrable defect is provided and analysed. The new approach is sufficiently broad to allow a description of defects within the Tzitzeica model, which was… Expand
Affine Toda field theories with defects
- P. Bowcock, E. Corrigan, C. Zambon
- Physics
- 5 January 2004
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… Expand
Classically integrable field theories with defects
- P. Bowcock, E. Corrigan, C. Zambon
- Physics
- 2 May 2003
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… Expand
Calogero-Moser Models. I: A New Formulation
- A. Bordner, E. Corrigan, R. Sasaki
- Physics, Mathematics
- 18 May 1998
A new formulation of Calogero-Moser models based on root systems and their Weyl group is presented. The general construction of the Lax pairs applicable to all models based on the simply-laced… Expand
Generalised Calogero-Moser models and universal Lax pair operators
- A. Bordner, E. Corrigan, R. Sasaki
- Physics, Mathematics
- 3 May 1999
Calogero-Moser models can be generalised for all of the finite reflection groups. These include models based on non-crystallographic root systems, that is the root systems of the finite reflection… Expand
ON DUALITY AND REFLECTION FACTORS FOR THE SINH–GORDON MODEL WITH A BOUNDARY
- E. Corrigan
- Physics
- 29 July 1997
The sinh–Gordon model with integrable boundary conditions is considered in low order perturbation theory. It is pointed out that results obtained by Ghoshal for the sine–Gordon breather reflection… Expand
Jump-defects in the nonlinear schrödinger model and other non-relativistic field theories
- E. Corrigan, C. Zambon
- Mathematics, Physics
- 15 December 2005
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… Expand
Quantum versus classical integrability in Calogero-Moser systems
- E. Corrigan, R. Sasaki
- Mathematics, Physics
- 4 April 2002
Calogero–Moser systems are classical and quantum integrable multiparticle dynamics defined for any root system Δ. The quantum Calogero systems having 1/q2 potential and a confining q2 potential and… Expand
Comments on defects in the ar Toda field theories
- E. Corrigan, C. Zambon
- Physics, Mathematics
- 8 February 2009
A simple, basic argument is given, based solely on energy–momentum considerations, to recover conditions under which ar affine or conformal Toda field theories can support defects of integrable type.… Expand