# Large-N Yang–Mills theory as classical mechanics

@article{lee1999LargeNYT, title={Large-N Yang–Mills theory as classical mechanics}, author={C.-W. H. lee and S G Rajeev}, journal={arXiv: High Energy Physics - Theory}, year={1999}, volume={488}, pages={72-79} }

To formulate two-dimensional Yang–Mills theory with adjoint matter fields in the large-N limit as classical mechanics, we derive a Poisson algebra for the color-invariant observables involving adjoint matter fields. We showed rigorously in Ref. [15] that different quantum orderings of the observables produce essentially the same Poisson algebra. Here we explain, in a less precise but more pedagogical manner, the crucial topological graphical observations underlying the formal proof.

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