English

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

High Energy Physics - Theory 2009-10-30 v1 Exactly Solvable and Integrable Systems solv-int

Abstract

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 nn plane waves. In order to write the solution in a compact form, it is convenient to introduce a scattering operator T^\hat{T}. It acts in the direct product of three linear spaces: 1) universal enveloping of su(N)su(N) Lie algebra, 2) nn-dimensional vector space and 3) space of functions defined on the unit interval.

Keywords

Cite

@article{arxiv.hep-th/9608064,
  title  = {Scattering of Plane Waves in Self-Dual Yang-Mills Theory},
  author = {V. E. Korepin and T. Oota},
  journal= {arXiv preprint arXiv:hep-th/9608064},
  year   = {2009}
}

Comments

16 pages, LaTeX file