Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1993-03-27
Phys.Lett. B312 (1993) 155-165
Physics
High Energy Physics
High Energy Physics - Theory
15 pages, CERN-TH 6843/93, UVA-HET-93-02
Scientific paper
10.1016/0370-2693(93)90504-B
We consider two dimensional QCD with the spatial dimension compactified to a circle. We show that the states in the theory consist of interacting strings that wind around the circle and derive the Hamiltonian for this theory in the large $N$ limit, complete with interactions. Mapping the winding states into momentum states, we express this Hamiltonian in terms of a continuous field. For a $U(N)$ gauge group with a background source of Wilson loops, we recover the collective field Hamiltonian found by Das and Jevicki for the $c=1$ matrix model, except the spatial coordinate is on a circle. We then proceed to show that two dimensional QCD with a $U(N)$ gauge group can be reduced to a one- dimensional unitary matrix model and is hence equivalent to a theory of $N$ free nonrelativistic fermions on a circle. A similar result is true for the group $SU(N)$, but the fermions must be modded out by the center of mass coordinate.
Minahan Joseph A.
Polychronakos Alexios P.
No associations
LandOfFree
Equivalence of Two Dimensional QCD and the $c=1$ Matrix Model 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 Equivalence of Two Dimensional QCD and the $c=1$ Matrix Model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Equivalence of Two Dimensional QCD and the $c=1$ Matrix Model will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-106604