Large-N Yang-Mills Theory as Classical Mechanics
High Energy Physics - Theory
2009-10-31 v1 Mathematical Physics
math.MP
Abstract
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.
Cite
@article{arxiv.hep-th/9906150,
title = {Large-N Yang-Mills Theory as Classical Mechanics},
author = {C. -W. H. Lee and S. G. Rajeev},
journal= {arXiv preprint arXiv:hep-th/9906150},
year = {2009}
}
Comments
8 pages, 3 eps figues, LaTeX2.09, aipproc macros needed; conference proceeding of MRST '99 (10-12 May, 1999, Carleton University, Canada)