The Inverse Spectral Theory for the Ward Equation and for the 2+1 Chiral Model

Details The Inverse Spectral Theory for the Ward Equation and for the 2+1 Chiral Model The Inverse Spectral Theory for the Ward Equation and for the 2+1 Chiral Model

1998-06-04

arxiv.org/abs/hep-th/9806035v1

Physics

High Energy Physics

High Energy Physics - Theory

14 pages + 1 figure, Latex

Scientific paper

We solve the Cauchy problem of the Ward model in light-cone coordinates using
the inverse spectral (scattering) method. In particular we show that the
solution can be constructed by solving a $2\times 2$ local matrix
Riemann-Hilbert problem which is uniquely defined in terms of the initial data.
These results are also directly applicable to the 2+1 Chiral model.

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