Scattering of Plane Waves in Self-Dual Yang-Mills Theory

Details Scattering of Plane Waves in Self-Dual Yang-Mills Theory Scattering of Plane Waves in Self-Dual Yang-Mills Theory

1996-08-12

arxiv.org/abs/hep-th/9608064v1

J.Phys. A29 (1996) L625-L628

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, LaTeX file

Scientific paper

10.1088/0305-4470/29/24/003

We consider the classical self-dual Yang-Mills equation in 3+1-dimensional Minkowski space. We have found an exact solution, which describes scattering of $n$ plane waves. In order to write the solution in a compact form, it is convenient to introduce a scattering operator $\hat{T}$. It acts in the direct product of three linear spaces: 1) universal enveloping of $su(N)$ Lie algebra, 2) $n$-dimensional vector space and 3) space of functions defined on the unit interval.

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