The Solutions of Affine and Conformal Affine Toda Field Theories

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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11pp, phyzzx

Scientific paper

10.1142/S0217732394001416

We give new formulations of the solutions of the field equations of the affine Toda and conformal affine Toda theories on a cylinder and two-dimensional Minkowski space-time. These solutions are parameterised in terms of initial data and the resulting covariant phase spaces are diffeomorphic to the Hamiltonian ones. We derive the fundamental Poisson brackets of the parameters of the solutions and give the general static solutions for the affine theory.

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