Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1998-10-05
Nucl.Phys. B557 (1999) 413-442
Physics
High Energy Physics
High Energy Physics - Theory
harvmac, 35 pp. v2. typos corrected
Scientific paper
10.1016/S0550-3213(99)00393-4
We study the regularized correlation functions of the light-like coordinate operators in the reduction to zero dimensions of the matrix model describing $D$-particles in four dimensions. We investigate in great detail the related matrix model originally proposed and solved in the planar limit by J. Hoppe. It also gives the solution of the problem of 3-coloring of planar graphs. We find interesting strong/weak 't Hooft coupling dependence. The partition function of the grand canonical ensemble turns out to be a tau-function of KP hierarchy. As an illustration of the method we present a new derivation of the large-N and double-scaling limits of the one-matrix model with cubic potential.
Kazakov Vladimir A.
Kostov Ivan K.
Nekrasov Nikita
No associations
LandOfFree
D-particles, Matrix Integrals and KP hierachy 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 D-particles, Matrix Integrals and KP hierachy, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and D-particles, Matrix Integrals and KP hierachy will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-223211