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. 
View PDF on arXiv

Figures from this paper

References

SHOWING 1-10 OF 10 REFERENCES

Aspects of κ symmetry

We review various aspects of a fermionic gauge symmetry, known as the κ–symmetry, which plays an important role in formulations of superstrings, supermembranes and higher dimensional extended…

Mathematical Methods of Classical Mechanics

Part 1 Newtonian mechanics: experimental facts investigation of the equations of motion. Part 2 Lagrangian mechanics: variational principles Lagrangian mechanics on manifolds oscillations rigid…

A GUIDE TO QUANTUM GROUPS

By Vyjayanthi Chari and Andrew Pressley: 651 pp., £22.95 (US$34.95), isbn 0 521 55884 0 (Cambridge University Press, 1994).

Rev. Mod. Phys

  • Rev. Mod. Phys
  • 1995

J. Math. Phys

  • J. Math. Phys
  • 1999

J. Math. Phys

  • J. Math. Phys
  • 1996

Rev. Mod. Phys

  • Rev. Mod. Phys
  • 1982

and G

  • Segal, Loop Groups, Clarendon, Oxford,
  • 1986

Composito Mathematica J. Math. Pure Appl

  • Composito Mathematica J. Math. Pure Appl
  • 1974

Int. J. Mod. Phys. A9

  • Int. J. Mod. Phys. A9
  • 1994