Semiclassical Approach to Planar Diagrams

Abstract

It is shown, on the basis of an $\mathrm{SU}\mathrm{}\left(N\right)\mathrm{}$-symmetric model, that the large-$N$ quantum theory can be described in terms of the classical equation of motion supplemented by some special boundary conditions. It is then exemplifyied how the appropriate classical solutions determine the sum of planar diagrams.