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Quantum complex sine-Gordon model on a half line (2007)
Journal Article
Bowcock, P., & Tzamtzis, G. (2007). Quantum complex sine-Gordon model on a half line. Journal of High Energy Physics, 2007(11), Article 018. https://doi.org/10.1088/1126-6708/2007/11/018

In this paper, we examine the quantum complex sine-Gordon model on a half line. We obtain the quantum spectrum of boundary bound states using the the semi-classical method of Dashen, Hasslacher and Neveu. The results are compared and found to agree w... Read More about Quantum complex sine-Gordon model on a half line.

The Complex Sine-Gordon Model on a Half-line (2007)
Journal Article
Bowcock, P., & Tzamtzis, G. (2007). The Complex Sine-Gordon Model on a Half-line. Journal of High Energy Physics, 2007(03), Article 047. https://doi.org/10.1088/1126-6708/2007/03/047

In this paper, we examine the complex sine-Gordon model in the presence of a boundary, and derive boundary conditions that preserve integrability. We present soliton and breather solutions, investigate the scattering of particles and solitons off the... Read More about The Complex Sine-Gordon Model on a Half-line.

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.

Aspects of classical backgrounds and scattering for affine Toda theory on a half-line (2003)
Journal Article
Bowcock, P., & Perkins, M. (2003). Aspects of classical backgrounds and scattering for affine Toda theory on a half-line. Journal of High Energy Physics, 2003(02), Article 016. https://doi.org/10.1088/1126-6708/2003/02/016

In this paper we study various aspects of classical solutions to the affine Toda equations on a half-line with integrable boundary conditions. We begin by finding conditions that the theory has a stable vacuum by finding a Bogomolny bound on the ener... Read More about Aspects of classical backgrounds and scattering for affine Toda theory on a half-line.

Quantum corrections to the classical reflection factor in a2(1) Toda field theory. (1999)
Journal Article
Bowcock, P., & Perkins, M. (1999). Quantum corrections to the classical reflection factor in a2(1) Toda field theory. Nuclear Physics B, 538(3), 612-630. https://doi.org/10.1016/s0550-3213%2898%2900707-x

The O(β2) quantum correction to the classical reflection factor is calculated for one of the integrable boundary conditions of a2(1) affine Toda field theory. This is found to agree with the conjectured exact reflection factor of the quantum theory.... Read More about Quantum corrections to the classical reflection factor in a2(1) Toda field theory..

Classical backgrounds and scattering for affine Toda theory on a half-line. (1998)
Journal Article
Bowcock, P. (1998). Classical backgrounds and scattering for affine Toda theory on a half-line. Journal of High Energy Physics, 1998(5), Article 008. https://doi.org/10.1088/1126-6708/1998/05/008

We find classical solutions to the simply-laced affine Toda equations which satisfy integrable boundary conditions using solitons which are analytically continued from imaginary coupling theories. Both static `vacuum' configurations and time-dependen... Read More about Classical backgrounds and scattering for affine Toda theory on a half-line..

Wakimoto modules for the affine superalgebra sl(2/1) and non-critical N = 2 Strings. (1996)
Journal Article
Bowcock, P., Koktava, R. K., & Taormina, A. (1996). Wakimoto modules for the affine superalgebra sl(2/1) and non-critical N = 2 Strings. Physics Letters B, 388(2), 303-308. https://doi.org/10.1016/s0370-2693%2896%2901103-3

Free field representations of the affine superalgebra A(1, 0)(1) at level k corresponding to two inequivalent choices of the simple roots are shown to be related by nonlinear canonical field transformations, both at the classical and at the quantum l... Read More about Wakimoto modules for the affine superalgebra sl(2/1) and non-critical N = 2 Strings..

Background field boundary conditions for affine Toda field theories (1996)
Journal Article

Classical integrability is investigated for affine Toda field theories in the presence of a constant background tensor field. This leads to a further set of discrete possibilities containing no free parameters other than the bulk coupling constant.