Aspects of classical backgrounds and scattering for affine Toda theory on a half-line

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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23 pages, 1 figure

Scientific paper

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 energy, and analysing the possible singularities of the field at the boundary. Using these constraints and extensive numerical investigations we classify the vacuum configurations and reflection factors for A_r^(1) Toda theories up to r=5.

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