Some Properties of Large $N$ Two Dimensional Yang--Mills Theory

Details Some Properties of Large $N$ Two Dimensional Yang--Mills Theory Some Properties of Large $N$ Two Dimensional Yang--Mills Theory

1994-10-09

arxiv.org/abs/hep-th/9410054v1

Nucl.Phys. B437 (1995) 541-584

Physics

High Energy Physics

High Energy Physics - Theory

48 pages, preprint PUPT-1503

Scientific paper

10.1016/0550-3213(94)00570-5

Large $N$ two-dimensional QCD on a cylinder and on a vertex manifold (a sphere with three holes) is investigated. The relation between the saddle-point description and the collective field theory of QCD$_2$ is established. Using this relation, it is shown that the Douglas--Kazakov phase transition on a cylinder is associated with the presence of a gap in the eigenvalue distributions for Wilson loops. An exact formula for the phase transition on disc with an arbitrary boundary holonomy is found. The role of instantons in inducing such transitions is discussed. The zero-area limit of the partition function on a vertex manifold is studied. It is found that this partition function vanishes unless the boundary conditions satisfy a certain selection rule which is an analogue of momentum conservation in field theory.

Affiliated with

Also associated with

No associations

Rating

Some Properties of Large $N$ Two Dimensional Yang--Mills Theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Some Properties of Large $N$ Two Dimensional Yang--Mills Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Some Properties of Large $N$ Two Dimensional Yang--Mills Theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-656801