Large-N Yang-Mills Theory as Classical Mechanics

Details Large-N Yang-Mills Theory as Classical Mechanics Large-N Yang-Mills Theory as Classical Mechanics

1999-06-18

arxiv.org/abs/hep-th/9906150v1

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, 3 eps figues, LaTeX2.09, aipproc macros needed; conference proceeding of MRST '99 (10-12 May, 1999, Carleton Universi

Scientific paper

10.1063/1.1301293

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 J. Math. Phys. 40, 1870 (1999) 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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