Outputs (4512)

Nontrivial scattering of localized solitons in a (2+1)-dimensional integrable system. (1995)
Journal Article
Ward, R. (1995). Nontrivial scattering of localized solitons in a (2+1)-dimensional integrable system. Physics Letters A, 208(3), 203-208. https://doi.org/10.1016/0375-9601%2895%2900782-x

One usually expects localized solitons in an integrable system to interact trivially. There is an integrable (2+1)-dimensional chiral equation which admits multi-soliton solutions with trivial dynamics. This paper describes how to generate explicit s... Read More about Nontrivial scattering of localized solitons in a (2+1)-dimensional integrable system..

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.

Cosmological production of charged black hole pairs (1995)
Journal Article
Mann, R. B., & Ross, S. F. (1995). Cosmological production of charged black hole pairs. Physical Review D, Particles and fields, 52, 2254-2265. https://doi.org/10.1103/physrevd.52.2254

Almost complex curves and Hopf hypersurfaces in the nearly Kähler 6-sphere. (1995)
Journal Article
Bolton, J., Berndt, J., & Woodward, L. (1995). Almost complex curves and Hopf hypersurfaces in the nearly Kähler 6-sphere. Geometriae Dedicata, 56(3), 237-247. https://doi.org/10.1007/bf01263564

We characterize Hopf hypersurfaces in S^6 as open parts of geodesic hyperspheres or of tubes around almost complex curves of S^6.

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.

Additive relations in fields: an entropy approach (1995)
Journal Article
Ward, T. (1995). Additive relations in fields: an entropy approach. Journal of Number Theory, 53(1), 137-143. https://doi.org/10.1006/jnth.1995.1082

Entropy, Area, and black hole pairs (1995)
Journal Article
Hawking, S., Horowitz, G. T., & Ross, S. F. (1995). Entropy, Area, and black hole pairs. Physical Review D, Particles and fields, 51, 4302-4314. https://doi.org/10.1103/physrevd.51.4302

Discrete Toda field equations. (1995)
Journal Article
Ward, R. (1995). Discrete Toda field equations. Physics Letters A, 199(1-2), 45-48. https://doi.org/10.1016/0375-9601%2895%2900108-f

There are two-dimensional Toda field equations corresponding to each (finite or affine) Lie algebra. The question addressed in this note is whether there exist integrable discrete versions of these. It is shown that for certain algebras (such as An,... Read More about Discrete Toda field equations..

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..