Skip to main content

Research Repository

Advanced Search

All Outputs (4335)

Conserved quantities for integrable chiral equations in 2+1 dimensions. (1995)
Journal Article
Ioannidou, T., & Ward, R. (1995). Conserved quantities for integrable chiral equations in 2+1 dimensions. Physics Letters A, 208(3), 209-213. https://doi.org/10.1016/0375-9601%2895%2900781-w

The integrable (2+1)-dimensional chiral equations are related to the self-dual Yang-Mills equation. Previously known nonlocal conservation laws do not yield finite conserved charges, because the relevant spatial integrals diverge. We exhibit infinite... Read More about Conserved quantities for integrable chiral equations in 2+1 dimensions..

The vacuum functional at large distances (1995)
Journal Article
Mansfield, P. (1995). The vacuum functional at large distances. Physics Letters B, 358(3-4), 287-296. https://doi.org/10.1016/0370-2693%2895%2901007-d

For fields that vary slowly on the scale of the lightest mass the logarithm of the vacuum functional can be expanded as a sum of local functionals, however, this does not satisfy the obvious form of the Schrödinger equation. For ϕ4 theory we construc... Read More about The vacuum functional at large distances.

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.

Aspects of affine Toda field theory on a half line. (1995)
Journal Article
Corrigan, E., Dorey, P., & Rietdijk, R. (1995). Aspects of affine Toda field theory on a half line. Progress of theoretical physics. Supplement, 118, 143-164. https://doi.org/10.1143/ptps.118.143

The equation of the integrability of real-coupling affine Toda field theory on a half line is discussed. It is shown, by examining low-spin conserved charges, that the boundary conditions preserving integrability are strongly constrained. In particul... Read More about Aspects of affine Toda field theory on a half line..

Mathematik in Anwendung mit C++ (1994)
Book
Huettenhofer, M., Lesch, M., & Peyerimhoff, N. (1994). Mathematik in Anwendung mit C++. Quelle & Meyer

In diesem Buch werden ausgewaehlte Themen der Mathematik dargestellt, die sich besonders gut durch Algorithmen veranschaulichen lassen. Im zahlentheoretischen Teil des Buches geht es um die Teilbarkeit ganzer Zahlen und um Primzahlen - eine Thematik,... Read More about Mathematik in Anwendung mit C++.

QCD Physics at LEP 2 (1994)
Presentation / Conference Contribution
Khoze, V. (1994). QCD Physics at LEP 2.

The space of harmonic maps of into. (1994)
Presentation / Conference Contribution
Bolton, J., & Woodward, L. (1994). The space of harmonic maps of into. In T. Kotake, S. Nishikawa, & R. M. Schoen (Eds.), Geometry and global analysis: Report of the first MSJ International Research Institute July 12-23, 1993, Tohoku University, Sendai, Japan (165-173)

The Affine Toda Equations in the Geometry of Surfaces. (1994)
Presentation / Conference Contribution
Bolton, J., Kotake, T., Nishikawa, S., & Schoen, R. M. (1994). The Affine Toda Equations in the Geometry of Surfaces. In T. Kotake, S. Nishikawa, & R. M. Schoen (Eds.), Geometry and Global Analysis, Report of the First MSJ International Research Institute July 12-23, 1993, Sendai, Japan (175-189)

Numerical twistor procedure for solving a non-linear field equation. (1994)
Journal Article
Moorhouse, T., & Ward, R. (1994). Numerical twistor procedure for solving a non-linear field equation. Journal of Mathematical Physics, 35(12), 6489-6497. https://doi.org/10.1063/1.530686

This paper concentrates on an integrable SU(2) chiral equation in two space and one time dimensions, admitting soliton solutions. It is, in effect, a reduction of the self‐dual Yang–Mills equations in 2+2 dimensions, and can therefore be solved by tw... Read More about Numerical twistor procedure for solving a non-linear field equation..