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Dr Peter Bowcock's Outputs (43)

Momentum conserving defects in affine Toda field theories (2017)
Journal Article
Bristow, R., & Bowcock, P. (2017). Momentum conserving defects in affine Toda field theories. Journal of High Energy Physics, 2017(5), Article 153. https://doi.org/10.1007/jhep05%282017%29153

Type II integrable defects with more than one degree of freedom at the defect are investigated. A condition on the form of the Lagrangian for such defects is found which ensures the existence of a conserved momentum in the presence of the defect. In... Read More about Momentum conserving defects in affine Toda field theories.

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.

The D3$|$D1-brane intersection and monopole scattering (2003)
Book Chapter
Barrett, J., & Bowcock, P. (2003). The D3$|$D1-brane intersection and monopole scattering. In L. Baulieu, E. Rabinovici, J. Harvey, B. Pioline, & P. Windey (Eds.), Progress in String, Field and Particle Theory (357-360). Dordrecht: Springer. https://doi.org/10.1007/978-94-010-0211-0_13

The intersection between D3-branes and D1-strings can be studied either from the point of view of the D3-branes, or from the point of view of the Dl-strings. This scenario has been widely studied in the literature; see for example [1] and [2]. An ove... Read More about The D3$|$D1-brane intersection and monopole scattering.

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
Bowcock, P., Corrigan, E., & Rietdijk, R. (1996). Background field boundary conditions for affine Toda field theories. Nuclear Physics B, 465(1-2), 350-364. https://doi.org/10.1016/0550-3213%2896%2900050-8

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.

Classically integrable boundary conditions for affine Toda field theories (1995)
Journal Article
Bowcock, P., Corrigan, E., Dorey, P., & Rietdijk, R. (1995). Classically integrable boundary conditions for affine Toda field theories. Nuclear Physics B, 445(2-3), 469-500. https://doi.org/10.1016/0550-3213%2895%2900153-j

Boundary conditions compatible with classical integrability are studied both directly, using an approach based on the explicit construction of conserved quantities, and indirectly by first developing a generalisation of the Lax pair idea. The latter... Read More about Classically integrable boundary conditions for affine Toda field theories.

Null vectors, three point and four point functions in conformal field theory (1994)
Journal Article
Bowcock, P., & Watts, G. (1994). Null vectors, three point and four point functions in conformal field theory

We consider 3-point and 4-point correlation functions in a conformal field theory with a W-algebra symmetry. Whereas in a theory with only Virasoro symmetry the three-point functions of descendant fields are uniquely determined by the three-point fun... Read More about Null vectors, three point and four point functions in conformal field theory.

Some problems with two field tunneling (1991)
Presentation / Conference Contribution
Gregory, R., & Bowcock, P. (1991). Some problems with two field tunneling. In D. Axen, D. Bryman, & M. Comyn (Eds.), Proceedings, The Vancouver Meeting, Particles & Fields '91 : Vancouver, Canada, August 18-22, 1991 (964-966)

CANONICAL QUANTIZATION OF THE GAUGED WESS-ZUMINO MODEL (1989)
Presentation / Conference Contribution
Bowcock, P. (1989). CANONICAL QUANTIZATION OF THE GAUGED WESS-ZUMINO MODEL

The canonical formalism is developed for the two-dimensional Wess-Zumino model on a group manifold G with a subgroup H⊂G gauged, using time as the evolution parameter. The system is a constrained hamiltonian system which is dealt with using Dirac's p... Read More about CANONICAL QUANTIZATION OF THE GAUGED WESS-ZUMINO MODEL.

VIRASORO ALGEBRAS WITH CENTRAL CHARGE c < 1 (1987)
Presentation / Conference Contribution
Bowcock, P., & Goddard, P. (1987). VIRASORO ALGEBRAS WITH CENTRAL CHARGE c < 1. Nuclear Physics B, B285, 651-670. https://doi.org/10.1016/0550-3213%2887%2990360-9

It is known that, given an algebra and a subalgebra, g ⊃ h, the difference of the Sugawara constructions of the Virasoro algebras associated with the corresponding Kac-Moody algebras ĝ ⊃ ĥ defines another Virasoro algebra, v̂, and also that if the ce... Read More about VIRASORO ALGEBRAS WITH CENTRAL CHARGE c < 1.