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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.